Special Session 10: Sharp inequalities and nonlinear differential equations

Adams inequalities with exact growth condition for Riesz-like potentials on R^n

Liuyu Qin
Hunan university of finance and economics
Peoples Rep of China
Co-Author(s):    
Abstract:
In this talk, I will present some of my recent results on Adams inequalities with exact growth condition for general Riesz-like potentials on $\mathbb{R}^n$. I will then present some consequences of such results, such as sharp Moser-Trudinger inequalities with exact growth condition for the fractional Laplacian and for homogeneous elliptic differential operators.