Free boundary problems and related topics

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Programme theme

Free boundary problems are today considered as one of the most important directions in the mainstream of the analysis of partial differential equations (PDEs), with an abundance of applications in various sciences and real world problems. In the last two decades, various new ideas, techniques, and methods have been developed, and new important, challenging problems in physics, engineering, industry, finance, biology, and other areas have arisen. The topics of this programme are at the forefront of current exciting developments. We realise that there have been few activities on free boundary problems in recent decades in the UK. We strongly believe that a thematic programme at the Newton Institute will have a huge impact on the development of FBPs from all points of view. The programme is directed towards theory, numerics and applications. It will further enhance the interaction between UK mathematicians and top international researchers in this field and strengthen the UK expertise in FBPs. The study of free boundary problems is an extremely broad topic due to the abundance of applications. This breadth presents challenges and opportunities! Many problems treated by applied scientists and numerical analysts are not well known amongst theoretical people, and vice versa. This leads to the development of the topic in different directions and sometimes with no links. However, often there are several unifying themes with respect to methodologies and techniques. The aim of programme is to enhance those links and unifying techniques by bringing together the relevant specialists. PROGRAMME PUBLICATIONS Preprints: The Newton Institute has its own Preprint Series (http://www.newton.ac.uk/preprints). Free Boundary Problems and Related Topics visitors are encouraged to submit relevant papers to the series (http://www.newton.ac.uk/event/frb/preprints). All papers must have been either completed at the Institute or based on work that took place partially or wholly at the Institute. You can still submit material to the preprint series even after your visit has ended as long as it is based on work that you did during your visit. Journal articles: A special theme issue of Philosophical Transactions A was published in Septermber 2015 containing output from this programme. A special issue of the EMS journal Interfaces and Free Boundaries contains output from this programme.

Click here to download the programme's final scientific report

Preprints

Title	Year	Programme
Infinitely many solutions for a class of sublinear Schrödinger equations with indefinite potentials Authors: A Bahrouni, H Ounaies, Vicentiu Radulescu Download PDF	2013	FRB
Equilibrium problems techniques in the qualitative analysis of quasi-hemivariational inequalities Authors: B Alleche, Vicentiu Radulescu Download PDF	2013	FRB
On the regularity of the free boundary for quasilinear obstacle problems Authors: S Challal, A Lyaghfouri, JF Rodrigues, R Teymurazyan Download PDF	2013	FRB
Nonlocal $\it p$-laplace equations depending on the $\it L^p$ norm of the gradient Authors: Michel Chipot, T Savitska Download PDF	2013	FRB
Optimization problems involving the first Dirichlet eigenvalue and the torsional rigidity Authors: Giuseppe Buttazzo, Michiel van den Berg, B Velichkov Download PDF	2013	FRB
On regularity properties of solutions to hysteresis-type problems Authors: D E Apushkinskaya, N N Uraltseva Download PDF	2013	FRB
Hopf's lemma for a class of singular/degenerate PDE-s Authors: Hayk Mikayelyan, H Shaghholian Download PDF	2013	FRB
Transformations of self-similar solutions for porous medium equations of fractional type Authors: Diana Stan, F Del Teso, Juan Luis Vázquez Download PDF	2013	FRB
Fast and accurate finite element approximation of wave maps into spheres Authors: Soeren Bartels Download PDF	2013	FRB
Isoperimetric inequalities for the principal eigenvalue of a membrane and the energy of problems with Robin boundary conditions Authors: Catherine Bandle, Alfred Wagner Download PDF	2013	FRB
The mesa problem for the fractional porous medium equation Authors: Juan Luis Vázquez Download PDF	2013	FRB
On the mathematical analysis of thick fluids Authors: JF Rodrigues Download PDF	2013	FRB
Error analysis for an ALE evolving surface finite element method Authors: CM Elliott, Mirna Golubic Venkataraman Download PDF	2013	FRB
An abstract framework for parabolic PDEs on evolving spaces Authors: A Alphonse, CM Elliott, B Stinner Download PDF	2013	FRB
The saddle-point formulation and finite element method for the Stefan problem with surface tension Authors: CB Davis, Shawn Walker Download PDF	2013	FRB
A simple scheme for the approximation of elastic vibrations of inextensible curves Authors: Soeren Bartels Download PDF	2013	FRB
Analysis of a variational model for nematic shells Authors: Antonio Segatti, M Snarski, M Veneroni Download PDF	2013	FRB
On a Cahn-Hilliard type phase field system related to tumor growth Authors: Pierluigi Colli, G Gilardi, D Hilhorst Download PDF	2013	FRB
More on the potential for the farthest-point distance function Authors: Bernd Kawohl, C Nitsch, G Sweers Download PDF	2013	FRB
Distributed and boundary control problems for the semidiscrete Cahn-Hilliard/Navier-Stokes system with nonsmooth Ginzburg-Landau energies Authors: Michael Hintermüller, D Wegner Download PDF	2013	FRB
The Tikhonov regularization for equilibrium problems and applications to quasi-hemivariational inequalities Authors: B Alleche, Vicentiu Radulescu, M Sebaoui Download PDF	2013	FRB
Nondegeneracy in the obstacle problem with a degenerate force term Authors: K Yeressian Download PDF	2013	FRB
Two Robin boundary value problems with opposite sign Authors: Catherine Bandle, Alfred Wagner Download PDF	2013	FRB
On generalized solutions of axisymmetric two-phase incompressible viscous flow with surface tension Authors: K Yeressian Download PDF	2013	FRB
Competition phenomena for difference equations with oscillatory nonlinearities Authors: M Malin, Vicentiu Radulescu Download PDF	2013	FRB
Global bifurcation of steady gravity water waves with critical layers Authors: A Constantin, W Strauss, Eugen Varvaruca Download PDF	2013	FRB
Morse's index formula in VMO for compact manifolds with boundary Authors: G Canevari, Antonio Segatti, M Veneroni Download PDF	2013	FRB
Time-periodic solutions of advection-diffusion equations on moving hypersurfaces Authors: CM Elliott, Hans Fritz Download PDF	2013	FRB
A computational approach to an optimal partition problem on surfaces Authors: CM Elliott, Tom Ranner Download PDF	2013	FRB
Vanishing viscosity solutions of the compressible Euler equations with spherical symmetry and large initial data Authors: GG Chen, M Perepelitsa Download PDF	2013	FRB
Obstacle problem with a degenerative force term Authors: K Yeressian Download PDF	2013	FRB
Regularity of solutions of the fractional porous medium flow with exponent 1/2 Authors: Luis Caffarelli, Juan Luis Vázquez Download PDF	2013	FRB
A surgery result for the spectrum of the Dirichlet Laplacian Authors: Dorin Bucur, D Mazzoleni Download PDF	2013	FRB
Free boundary problems in shock reflection/diffraction and related transonic flow problems Authors: GG Chen, Mikhail Feldman Download PDF	2013	FRB
A new isoperimetric inequality for the elasticae Authors: Dorin Bucur, Antoine Henrot Download PDF	2013	FRB
A nonlocal diffusion problem on manifolds Authors: Catherine Bandle, MDM Gonzalez, Marco Fontelos, Noemi Wolanski Download PDF	2013	FRB

Workshops

FRBW01

Seminars

Monday 6th January 2014
09:00 to 09:55	Registration	No Room Required
09:55 to 10:00	Welcome from Christie Marr (INI Deputy Director)	Room 1
10:00 to 11:00	Derivation of FBs for tumor growth - 1	Room 1
11:00 to 11:30	Morning Coffee	No Room Required
11:30 to 12:30	Numerical Methods for FBPs - 1	Room 1
12:30 to 13:30	Lunch at Wolfson Court	No Room Required
13:30 to 14:30	Derivation of FBs for tumor growth - 2	Room 1
14:30 to 15:00	Afternoon Tea	No Room Required
15:00 to 16:00	Numerical Methods for FBPs - 2	Room 1
16:00 to 17:00	Perspectives on Free Boundaries	Room 1
17:00 to 18:00	Welcome Wine Reception	No Room Required

Tuesday 7th January 2014
10:00 to 11:00	Derivation of FBs for tumor growth - 3	Room 1
11:00 to 11:30	Morning Coffee	No Room Required
12:30 to 13:30	Lunch at Wolfson Court	No Room Required
13:30 to 14:30	Geometric approaches to water waves and free surface flows - 1	Room 1
14:30 to 15:00	Afternoon Tea	No Room Required

Wednesday 8th January 2014
10:00 to 11:00	Derivation of FBs for tumor growth - 4	Room 1
11:00 to 11:30	Morning Coffee	No Room Required
11:30 to 12:30	Geometric approaches to water waves and free surface flows - 2	Room 1
12:30 to 13:30	Lunch at Wolfson Court	No Room Required
13:30 to 14:30	Poster Session	Discussion Room
14:30 to 15:00	Afternoon Tea	No Room Required
19:30 to 22:00	Conference Dinner at Gonville and Caius College	No Room Required

Thursday 9th January 2014
11:00 to 11:30	Morning Coffee	No Room Required
11:30 to 12:30	Geometric approaches to water waves and free surface flows - 3	Room 1
12:30 to 13:30	Lunch at Wolfson Court	No Room Required
14:30 to 15:00	Afternoon Tea	No Room Required
15:00 to 16:00	Open problem session	Room 1

Friday 10th January 2014
10:00 to 11:00	Geometric approaches to water waves and free surface flows - 4	Room 1
11:00 to 11:30	Morning Coffee	No Room Required
11:30 to 12:30	Closing session	Room 1
12:30 to 13:30	Lunch at Wolfson Court	No Room Required

Wednesday 15th January 2014
14:00 to 15:00	Optimal potentials for Schrödinger operators	Room 2
15:15 to 16:15	Minimization of Dirichlet eigenvalues	Room 2

Wednesday 22nd January 2014
14:00 to 15:00	Nonlinear eigenvalue problems for nonhomegenous differential operators	Room 2
15:15 to 16:15	Nonlocal problems of p-laplacian type	Room 2

Wednesday 29th January 2014
14:00 to 15:00	Singular Integrals and Geometric Measure Theory: towards a solution of David--Semmes problem.	Room 2
15:15 to 16:15	On the Mathematical Analysis of Thick Fluids	Room 2

Wednesday 5th February 2014
14:00 to 15:00	Energy minimizing maps with free boundaries	Room 2
15:15 to 16:15	Surface PDEs and Interfaces	Room 2

Thursday 6th February 2014
14:00 to 15:45	Free Boundary Problems in Transonic Flow: Introudction I	Room 2
16:00 to 17:00	Free Boundary Problems in Transonic Flow: Introudction II	Room 2

Monday 10th February 2014
13:00 to 14:00	Optimal partitions for first eigenvalue; numerical approximations and related problems	Room 2

Wednesday 12th February 2014
14:00 to 15:00	Flatness implies smoothness for the porous medium equation	Room 2
15:15 to 16:15	On regularity properties of solutions to hysteresis-type problems.	Room 2

Tuesday 18th February 2014
13:00 to 14:00	Computational methods for an optimal partition problem on surfaces	Room 1

Tuesday 25th February 2014
13:00 to 14:30	Shape optimization of spectral functionals: a short introduction.	Room 2

Wednesday 26th February 2014
14:00 to 15:00	Free energies, discrete Hamiltonians and two scale convergence in statistical mechanics.	Room 2
15:15 to 16:15	Multidimensional Shock Waves and Free Boundary Problems	Room 2

Wednesday 5th March 2014
14:00 to 15:00	First and second variation of domain functionals and applications to problems with Robin boundary conditions.	Room 1
15:15 to 16:15	From Boltzmann to Euler: Hilbert's 6th problem revisited.	Room 1

Thursday 6th March 2014
13:00 to 14:00	Nonlinear Fractional Diffusion Equations. Numerics and Free Boundaries	Discussion Room

Tuesday 11th March 2014
13:00 to 14:00	Nondegeneracy of solution to degenerate obstacle problem.	Room 2

Thursday 13th March 2014
14:00 to 15:00	Mathematical Modeling of the Cellular Cytoskeleton.	Room 2
15:15 to 16:15	An overdetermined Free Boundary Problem with non constant boundary conditions	Room 2

Tuesday 18th March 2014
13:00 to 14:00	Regularity of the Mumford-Shah minimizers at the crack-tip	Room 2

Wednesday 19th March 2014
14:00 to 15:00	Contact-point behaviour of the free boundary for the porous-medium equation	Room 2
15:15 to 16:15	Modelling and simulation of cell motility with surface finite elements	Room 2

Wednesday 2nd April 2014
14:00 to 15:00	A nonstandard PDE system of viscous Cahn-Hilliard type related to a model for phase segregation.	Room 2
15:15 to 16:15	The longest shortest fence and the stability of floating trees	Room 2

Tuesday 8th April 2014
13:00 to 14:00	The eigenvalue problem for the infinity Laplacian	Discussion Room

Wednesday 9th April 2014
14:00 to 15:00	Non-univalent solutions of the Polubarinova-Galin equation	Room 1
15:15 to 16:15	Traffic on networks: modeling and analysis	Room 1

Tuesday 15th April 2014
13:00 to 14:00	Interior regularity of solutions to elliptic fully nonlinear free boundary problems.	Discussion Room

Wednesday 16th April 2014
14:00 to 15:00	Shock Reflection, von Neumann conjectures, and free boundary problems	Room 2
15:15 to 16:15	The Signorini problem for the heat equation: regularity of the solution and of the free boundary	Room 2

Thursday 17th April 2014
16:00 to 17:00	informal discussion	Room 1

Wednesday 23rd April 2014
14:00 to 15:00	Phase field modelling of drops in electric fields	Room 2
15:15 to 16:15	Does p matter in the p-obstacle problem?	Room 2

Thursday 24th April 2014
11:00 to 12:30	Numerical Methods for (Quasi)Variational Inequalities - Part I	Room 2
14:30 to 16:00	Numerical Methods for (Quasi)Variational Inequalities - Part II	Room 2

Tuesday 29th April 2014
13:00 to 14:00	Some observations on a fractional Cahn Hilliard equation and its relations with the fractional Porous Medium equation	Discussion Room

Wednesday 30th April 2014
14:00 to 15:00	Free boundary regularity in the parabolic Signorini problem	Room 2
15:15 to 16:15	Nonlinear fractional diffusion equations. Two problems with free boundaries	Room 2

Wednesday 7th May 2014
14:00 to 15:00	Harnack's inequality for the inhomogeneous $p(x)-$laplace equation	Room 2
15:15 to 16:15	The Calderón Problem For Schrödinger Operators	Room 2

Tuesday 13th May 2014
13:00 to 14:00	Time-periodic solutions of advection-diffusion equations on moving hypersurfaces.	Discussion Room
15:00 to 16:30	Why people in hyperbolic conservation laws are interested in free boundary problems.	Room 1

Wednesday 14th May 2014
14:00 to 15:00	Weak singularities in the multi-dimensional Riemann Problem	Room 2
15:15 to 16:15	Interface singularities for the Euler equations.	Room 2

Thursday 15th May 2014
09:00 to 11:00	Informal discussion	Room 2

Tuesday 20th May 2014
15:00 to 16:30	An Introduction to Free Boundary Problems in MHD	Room 2

Thursday 22nd May 2014
11:00 to 12:00	A transportation approach to random matrices.	Room 2
14:00 to 15:00	Confinement in the framework of Schrödinger equations: a revision of the classical "particle in a box" example and further free boundary results.	Room 2
15:15 to 16:15	Stability of the linearized MHD-Maxwell free interface problem	Room 2

Friday 23rd May 2014
10:45 to 12:30	informal discussion	Room 1

Tuesday 27th May 2014
10:00 to 10:55	Propagation and blocking for reaction-diffusion equations in non homogeneous media.	Room 1
10:55 to 11:15	Coffee Break	No Room Required
11:15 to 12:10	Global Bifurcation of Steady Gravity Water Waves with Critical Layers	Room 1
13:30 to 14:25	TBA	Room 1
14:30 to 15:25	Free boundary problems in random environments.	Room 1
15:25 to 16:00	Coffee Break	No Room Required
16:00 to 17:00	What Makes a Surface "Optimal" : Rothschild Distinguished Visiting Fellow Lecture	Room 1

Wednesday 4th June 2014
14:00 to 15:00	Regularity of local minimizers of the interaction energy via obstacle problems.	Room 2

Wednesday 11th June 2014
14:00 to 15:00	Nonlinear elliptic equations with absorption	Room 2
15:15 to 16:15	On incompressible two-phase flows with phase transitions	Room 2

Wednesday 18th June 2014
14:00 to 16:00	Phase transition problems involving minimal surfaces	Room 2

Thursday 19th June 2014
14:00 to 15:00	A classical Perron method for existence of smooth solutions to boundary value & obstacle problems for boundary-degenerate elliptic operators via holomorphic map	Room 1
15:15 to 16:15	Modelling the Growth of Tyndall Stars	Room 1

Monday 23rd June 2014
09:00 to 09:55	Registration	Room 1
09:55 to 10:00	Welcome from John Toland (INI Director)	Room 1
10:00 to 10:45	Plenary Lecture 1: How a Volvox embryo turns itself inside out	Room 1
11:00 to 11:30	Morning Coffee	No Room Required
12:30 to 13:30	Lunch at Wolfson Court	No Room Required
13:30 to 14:15	Plenary Lecture 3: Free Boundaries and Fluid Mixing at the Micro Level	Room 1
14:20 to 14:50	Afternoon Tea	No Room Required
14:50 to 15:20	Some Free Boundary Problems for Flows at high Re	Room 1
14:50 to 15:20	Dynamics of an Euler beam with unilateral constraints	Room 2
15:20 to 15:50	Shapes of charged drops in an electric field and Rayleigh jets	Room 1
15:20 to 15:50	Nondegeneracy in the Obstacle Problem with a Degenerate Force Term	Room 2
16:00 to 16:30	Spreading profile and nonlinear Stefan problems	Room 2
16:00 to 16:30	On contact-line dynamics with mass transfer	Room 1
16:30 to 17:00	A model for the quasi-static crack growth in hydraulic fracture	Room 2
17:00 to 18:00	Welcome Wine Reception and Poster Session	No Room Required

Tuesday 24th June 2014
09:00 to 09:45	Plenary Lecture 4	Room 1
09:50 to 10:20	Morning Coffee	No Room Required
10:20 to 10:50	Weak shock diffraction	Room 2
10:50 to 11:20	Dielectric Boundary in Biomolecular Solvation	Room 1
10:50 to 11:20	Shock diffraction by convex cornered wedges	Room 2
11:30 to 12:00	The Signorini problem, fractional Laplacians and the language of semigroups	Room 2
12:00 to 12:30	On Stability of Steady Transonic Shocks in Supersonic Flow around a Wedge	Room 2
12:00 to 12:30	Moving boundary problems in cell biology	Room 1
12:30 to 13:30	Sandwich lunch at INI	No Room Required
13:45 to 14:10	How the Geometry of the Cell Boundary Couples Cellular Blebbing and Actin Based Protrusions	Room 1
13:45 to 14:10	How the Geometry of the Cell Boundary Couples Cellular Blebbing and Actin Based Protrusions	Room 1
14:35 to 15:00	Feedback, Lineages and Cancer Therapy	Room 1
15:00 to 15:20	Tea and Coffee Break	No Room Required

Wednesday 25th June 2014
09:00 to 09:45	Plenary Lecture 5: Obstacle problems in geometric evolutions	Room 1
09:50 to 10:20	Morning Coffee	No Room Required
10:20 to 11:05	Plenary Lecture 6: On Boltzmann-type and Free Boundary Models for Price Formation	Room 1
11:15 to 11:45	Generalized Neumann solutions for the two-phase fractional Lam\'e-Clapeyron-Stefan problems	Room 2
11:45 to 12:15	Convergence of optimal control problems governed by second kind parabolic variational inequalities	Room 2
12:30 to 13:30	Lunch at Wolfson Court	No Room Required
14:20 to 14:50	Afternoon Tea	No Room Required
14:50 to 15:20	Computational methods for an optimal partition problem on surfaces	Room 1
14:50 to 15:20	Optimal Regularity and the Free Boundary in the Parabolic Signorini Problem	Room 2
15:20 to 15:50	Isoperimetric inequalities and free discontinuity problems	Room 2
16:00 to 16:30	Curvature Flows with Free Boundaries	Room 2
16:30 to 17:00	The Proximity of Free Boundary to Wedges and Planes	Room 2
16:30 to 17:00	Numerical approximation of phase-field models for multiphase flow	Room 1
16:30 to 17:00	The Proximity of Free Boundary to Wedges and Planes	Room 2
16:30 to 17:00	The Proximity of Free Boundary to Wedges and Planes	Room 2
17:20 to 18:00	FRBW04 organiser's meeting	Discussion Room
19:30 to 22:00	Conference Dinner at Christ's College	No Room Required

Thursday 26th June 2014
09:00 to 09:45	Plenary Lecture 8: Interfaces arising from solid phase transformations	Room 1
09:50 to 10:20	Morning Coffee	No Room Required
10:20 to 10:50	Free boundary problems in glacial hydrology	Room 2
10:50 to 11:20	A classical Perron method for existence of smooth solutions to boundary value and obstacle problems for boundary-degenerate elliptic operators via holomorphic m	Room 2
11:30 to 12:00	Existence and Qualitative Properties of Grounds States to the Choquard-Type Equations	Room 2
12:00 to 12:30	Some moving boundary value problems consisting of viscous incompressible fluids moving and interacting with nonlinear elastic shells	Room 2
12:00 to 12:30	Deterministic Pattern Formation in Diffusion-Limited Systems	Room 1
12:30 to 13:30	Lunch at Wolfson Court	No Room Required
13:30 to 14:15	Plenary Lecture 9: Curvature flow on graphs for large data classification	Room 1
14:20 to 14:50	Afternoon Tea	No Room Required
14:50 to 15:20	Obstacle problems in unbounded domains and related issues	Room 1
14:50 to 15:20	Oscillating facets	Room 2
15:20 to 15:50	Analysis of coupled phase-field models describing damage phenomena	Room 2
15:20 to 15:50	Pointwise estimates and regularity for the parabolic obstacle problem	Room 1
16:00 to 16:30	Numerical and asymptotic solutions of vertical continuous casting with and without superheat	Room 2
16:30 to 17:00	Higher order convergent trial methods for Bernoulli's free boundary problem	Room 2

Friday 27th June 2014
09:00 to 09:45	Plenary Lecture 10: Absence of the interface splash singularity for the two-fluid Euler equations	Room 1
10:00 to 10:45	Plenary Lecture 11: Numerical simulation of endocytosis	Room 1
11:00 to 11:30	Morning Coffee	No Room Required
11:30 to 12:15	Plenary Lecture 12: Slamming in flexible-channel flows	Room 1
12:30 to 13:30	Lunch at Wolfson Court	No Room Required
14:30 to 15:00	Afternoon Tea	No Room Required
15:00 to 15:45	Plenary Lecture 14: Free boundary problems for mechanical models of tumor growth	Room 1
15:45 to 16:00	Closing Remarks	Room 1

Wednesday 2nd July 2014
14:00 to 15:00	Interactions of a gasdynamic type. Two significant multidimensional examples of a constructive and classifying approach	Room 2

Free boundary problems and related topics

Organisers

Gui-Qiang G. Chen University of Oxford
Henrik Shahgholian KTH - Royal Institute of Technology
Juan Luis Vázquez Universidad Autonoma de Madrid

Free boundary problems and related topics

Programme theme

Preprints

Infinitely many solutions for a class of sublinear Schrödinger equations with indefinite potentials

Equilibrium problems techniques in the qualitative analysis of quasi-hemivariational inequalities

On the regularity of the free boundary for quasilinear obstacle problems

Nonlocal $\it p$-laplace equations depending on the $\it L^p$ norm of the gradient

Optimization problems involving the first Dirichlet eigenvalue and the torsional rigidity

On regularity properties of solutions to hysteresis-type problems

Hopf's lemma for a class of singular/degenerate PDE-s

Transformations of self-similar solutions for porous medium equations of fractional type

Fast and accurate finite element approximation of wave maps into spheres

Isoperimetric inequalities for the principal eigenvalue of a membrane and the energy of problems with Robin boundary conditions

The mesa problem for the fractional porous medium equation

On the mathematical analysis of thick fluids

Error analysis for an ALE evolving surface finite element method

An abstract framework for parabolic PDEs on evolving spaces

The saddle-point formulation and finite element method for the Stefan problem with surface tension

A simple scheme for the approximation of elastic vibrations of inextensible curves

Analysis of a variational model for nematic shells

On a Cahn-Hilliard type phase field system related to tumor growth

More on the potential for the farthest-point distance function

Distributed and boundary control problems for the semidiscrete Cahn-Hilliard/Navier-Stokes system with nonsmooth Ginzburg-Landau energies

The Tikhonov regularization for equilibrium problems and applications to quasi-hemivariational inequalities

Nondegeneracy in the obstacle problem with a degenerate force term

Two Robin boundary value problems with opposite sign

On generalized solutions of axisymmetric two-phase incompressible viscous flow with surface tension

Competition phenomena for difference equations with oscillatory nonlinearities

Global bifurcation of steady gravity water waves with critical layers

Morse's index formula in VMO for compact manifolds with boundary

Time-periodic solutions of advection-diffusion equations on moving hypersurfaces

A computational approach to an optimal partition problem on surfaces

Vanishing viscosity solutions of the compressible Euler equations with spherical symmetry and large initial data

Obstacle problem with a degenerative force term

Regularity of solutions of the fractional porous medium flow with exponent 1/2

A surgery result for the spectrum of the Dirichlet Laplacian

Free boundary problems in shock reflection/diffraction and related transonic flow problems

A new isoperimetric inequality for the elasticae

A nonlocal diffusion problem on manifolds

Workshops

Introductory school: free boundary problems and related topics

Free Boundaries and Moving Interfaces Workshop

Recent developments and challenges in interface and free boundary problems

International conference on free boundary problems: theory and applications

Seminars

Organisers

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