Special Session 105: 

Extremal functions of Moser-Trudinger inequality involving Finsler-Laplacian

Chunqin Zhou
Shanghai Jiao Tong University
Peoples Rep of China
Co-Author(s):    Changliang Zhou
Abstract:
In this talk, we will introduce the Moser-Trudinger inequality when it involves a Finsler-Laplacian operator that is associated with functionals containing $F^2(\nabla u)$. Here $F$ is convex and homogeneous of degree $1$, and its polar $F^o$ represents a Finsler metric on $\R^n$. We will show an existence result on the extremal functions for this sharp geometric inequality.