Isaac Newton Institute for Mathematical Sciences

Nonlinear Partial Differential Equations

8 Jan - 6 Jul 2001

Organisers: H Brezis (Paris), EN Dancer (Sydney) JF Toland (Bath),NS Trudinger (Aust Nat Univ)

Isaac Newton Institute for Mathematical Sciences

A Newton Institute Workshop

Nonlinear Elliptic Equations and Transition Phenomena

2 Jul - 6 Jul 2001

Timetable:

List of participants

Monday 2 July

09.00-10.00 Registration

10.00-11.00 A Ambrosetti (SISSA)

Existence and multiplicity results for some nonlinear Schrodinger
equations with potentials

11.00-11.30 Coffee

11.30-12.30 M Del Pino (Chile)

Concentration phenomena on elliptic equations near the critical
exponent

12.30-13.30 Lunch at the Centre for Mathematical Sciences (CMS)

14.00-15.00 T Bartsch (Giessen)

Nonlinear Schrodinger equations with steep potential well

15.00-15.30 Tea

15.30-16.30 T Suzuki (Osaka)

Palais-Smale sequence relative to the Trudinger-Moser inequality

17.00-18.00 Wine Reception at the Isaac Newton Institute

19.00- . Dinner at Wolfson Court

Tuesday 3 July

10.00-11.00 P Sternberg (Indiana)

Existence and non-existence results for permanent currents via
Ginzburg-Landau theory

11.00-11.30 Coffee

11.30-12.30 V Galaktionov (Bath)

Critical global asymptotics in higher-order semilinear heat
equations

12.30-13.30 Lunch at the Centre for Mathematical Sciences (CMS)

14.00-15.00 M Vogelius (Rutgers)

Singular solutions to a nonlinear elliptic boundary value problem
originating from corrosion modeling

15.00-15.30 Tea

15.30-16.30 N Alikakos (Athens)

Coarsening in two space dimensions

18.00-19.30 Reception at the Cambridge University Press Bookshop, 1 Trinity Street

Wednesday 4 July

10.00-11.00 H Berestycki (Paris VI)

Pulsating travelling fronts for reaction-diffusion equations

11.00-11.30 Coffee

11.30-12.30 C Gui (Connecticut)

De Giorgi conjecture

12.30-13.30 Lunch at the Centre for Mathematical Sciences (CMS)

14.00-15.00 O Rey (CNRS)

An elliptic Neumann problem with critical nonlinearity in three
dimensional domains

15.00-15.30 Tea

15.30-16.30 S Yan (Sydney)

On the profile of the changing sign mountain pass solutions for an
elliptic problem

16.40-17.30 M Kowalczyk (Carnegie-Mellon)

Multi-bump ground states of the Gierer-Meinhardt system in
$R^2$

19.30- . Conference Dinner at Magdalene College, Magdalene Street Abstract

Thursday 5 July

10.00-11.00 C-S Lin (Chung-Cheng)

Extremal functions for a mean field equation in two dimension

11.00-11.30 Coffee

11.30-12.30 P Felmer (Chile)

Peaks and multipeaks for NLS: a variational approach

12.30-13.30 Lunch at the Centre for Mathematical Sciences (CMS)

14.00-15.00 M Grossi (Rome)

Exact multiplicity results for the nonlinear Schrodinger equation

15.00-15.30 Tea

15.30-16.30 J Davila (Rutgers)

A non-linear elliptic equation with rapidly oscillating boundary
conditions

16.30-17.30 D Hilhorst (CNRS)

Singular limit of a reaction-diffusion system with resource-consumer
interaction

19.00- . Dinner at Wolfson Court

Friday 6 July

10.00-11.00 J Wei (Chinese University of Hong Kong)

Stability of multiple spike solutions

11.00-11.30 Coffee

11.30-12.30 C-C Chen (Taiwan)

Topological degree for a mean field equation

12.30-13.30 Lunch at the Centre for Mathematical Sciences (CMS)

14.00-15.00 L Jeanjean (Marne-la-Vallee)

An asymptotically linear problem on $R^N$ autonomous at infinity

15.00-15.30 Tea

15.30-16.30 M Willem (Catholique de Louvain)

Non radial ground states for the Henon equation

19.00- . Dinner at Wolfson Court