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Nonlinear Elliptic Equations and Transition Phenomena


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2nd July 2001 to 6th July 2001

Original URL:

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, Cambridge, UK



2 July - 6 July 2001

Organisers: Professor H Brezis and Professor EN Dancer


Themes: The aim of this EuroConference is to study Reaction-Diffusion equations and systems with particular emphasis on problems with solutions which exhibit transition phenomena. Such theory is of great importance because of its applications in, for example, biology, material sciences, combustion theory, catalysis, superconductivity, and many other situations. The existence of these solutions is a nonlinear effect. In particular, we study solutions with sharp peaks (possibly many peaks) or sharp transitions on smooth surfaces (including their existence and locations). There has been enormous progress on these problems in recent years. All aspects of such phenomena, including their stability, will be under investigation using a variety of tools: Morse theory, degree theory, finite-dimensional reduction, non-smooth critical point theory, gamma convergence, critical exponents etc.

It is also intended that there will be several lectures on the recent work on the de Giorgi conjecture and its relation to transition on surfaces.

A number of the lectures will be designed as survey lectures introducing the academic to the many techniques.

Speakers are likely to include: T Bartsch, H Berestycki, H Brezis, KC Chang, Xinfu Chen, M Del Pino, P Felmer, VA Galaktionov, C Gui, YY Li, M Mimura, P Sternberg, J Wei.

Location and cost: The EuroConference will take place at the Newton Institute and accommodation for participants will be provided in single study bedrooms with shared bathrooms at Wolfson Court, a hall of residence adjacent to the Institute. The workshop package costs £300, which includes registration fee, accommodation, breakfast and dinner from dinner on Sunday 1 July until breakfast on Saturday 7 July, and lunches and refreshments on the days that lectures take place. Limited financial support will be available to young researchers from EC Member States and Associated States (see below). Self-supporting participants of any age and nationality are welcome to apply.

Completed application forms should be sent to Maureen Clark at the Newton Institute.

The closing date for the receipt of applications is 28 February 2001.

Scientific enquiries may be addressed to Professor Brezis or Professor Dancer.

EC Member States: Austria; Belgium; Denmark; Finland; France; Germany; Greece; Ireland; Italy; Luxembourg; The Netherlands; Portugal; Spain; Sweden; United Kingdom.
Associated States: Bulgaria; Czech Republic; Republic of Cyprus; Estonia; Hungary; Iceland; Israel; Latvia; Liechtenstein; Lithuania; Norway; Poland; Romania; Slovakia and Slovenia.

University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons