Special Session 10: Recent Developments in Regularity Theory for PDEs

Some studies on the regularity of solutions to degenerate or singular equations with gradient terms
Jiangwen Wang
School of Mathematics, Southeast University
Peoples Rep of China
Co-Author(s):    Jiangwen Wang, Feida Jiang
Abstract:
In this talk, we consider $ C^{1,\alpha} $ regularity of solutions to degenerate normalized $ p $-Laplacian equations and degenerate or singular fully nonlinear integro-differential equations. If time allows, we will also introduce related applications, such as dead-core problems. This talk is based on joint works with Prof. Feida Jiang.