Introduction of some problems on the qualitative analysis of nonlinear elliptic PDEs

Speaker: Prof LI Congming (上海交通大学)

Venue: Hainayuan Building 2, room 210

Abstract: We give a brief introduction on the qualitative analysis of nonlinear problems arising from geometry, functional analysis and tluid mechanics, we focus on the research work of our team on various maximum principles, Liouville type theorems, the method of moving planes and classification of solutions, We mainly work on the Hardy-LittlewoodSobolev type systems, curvatures related geometric equations, and incompressible fluid equations.