Radial symmetry of entire solutions of a bi-harmonic equation with exponential nonlinearity

Date/heure
6 février 2015
14:00 - 15:00

Oratrice ou orateur
Feng Zhou

Catégorie d'évènement
Séminaire EDP, Analyse et Applications (Metz)


Résumé

We will talk about necessary and sufficient conditions for an entire solution $u$ of a biharmonic equation with exponential nonlinearity $e^u$ to be a radially symmetric solution. We need to know the asymptotic expansions of the solution $u$ and its laplacian at infinity in order to apply the standard Moving-Plane-Method (MPM) for obtaining the radial symmetry for a system of equations.