Campuses:

Some analytic aspects of second order conformally invariant equations

Tuesday, November 3, 2015 - 9:00am - 10:00am
Keller 3-180
Yanyan Li (Rutgers, The State University of New Jersey)
The classic and pioneering work of Nirenberg, in collaboration with
Gidas and Ni, on symmetries of solutions of partial differential equations
has generated enormous research activities, and the method of moving planes has
become a powerful and user-friendly tool in the study of partial differential
equations. In this talk, we will discuss some analytic aspects
of second order elliptic or degenerate elliptic conformally invariant
equations, in particular on some results where the method of
moving planes has played an important role in their proofs.
These include some recent joint work with Luc Nguyen
on analysis of blow up profiles of solutions of elliptic conformally invariant
equations as well as a Bocher type theorem for degenerate elliptic
conformally invariant equations, where the method of moving planes
has played an important role.
MSC Code: 
35J15