Special Session 140: Symmetry and Overdetermined problems

Overdetermined elliptic problems in nontrivial contractible domains of the sphere

Jing Wu
Autonomous University of Madrid
Spain
Co-Author(s):    
Abstract:
In this talk we will present the existence of nontrivial simply contractible domains of the sphere such that the overdetermined elliptic problem admits a positive solution. The proof uses a local bifurcation argument.