Special Session 14: The recent progress on Allen-Cahn equation, Liouville equation and critical exponent equation
The optimal stability of geometric inequality with the dimension-dependent or order-dependent constants.
Lu Chen
Beijing Institute of Technology Peoples Rep of China
Co-Author(s):
Abstract:
In this talk, we will first introuduce the sharp geometric inequality and their stability. Then we present recent progress on the optimal stability for Hardy-Littlewood-Sobolev (HLS) inequality, fractional Sobolev inequality, Log-Sobolev inequality and trace Sobolev inequality. Some interesting open problems will be also discussed.