Special Session 73: 

Effect of lower order perturbation on maximization problem associated with Trudinger-Moser inequality

Masato Hashizume
Ehime University
Japan
Co-Author(s):    Masato Hashizume
Abstract:
It is well known that there exists an extremal for the original Trudinger-Moser inequality. Recently, it was shown that perturbations have an effect on existence and non-existence of maximizers. In this talk, we consider maximization problems associated with the Trudinger-Moser inequality with lower order perturbations. We obtain one of nonlinearities separating existence and non-existence.