Special Session 74: Recent Advances in Local and Non-local Elliptic PDEs

High energy solutions for non-compact variational problems

Saikat Mazumdar
Indian Institute of Technology Bombay
India
Co-Author(s):    
Abstract:
In this talk, we will revisit the topological method of Coron to obtain solutions of a critical exponent polyharmonic equation. A key step is to show that in the absence of minimizers, a small perturbation of the first energy level can be embedded into the domain.