Special Session 140: Symmetry and Overdetermined problems

Overdetermined problems for p-Laplace and generalized Monge-Ampere equations

Yichen Liu
Xi'an Jiaotong-Liverpool University
Peoples Rep of China
Co-Author(s):    Behrouz Emamizadeh, Giovanni Porru
Abstract:
We investigate overdetermined problems for p-Laplace and generalized Monge Ampere equations. By using the theory of domain derivative, we find duality results and characterization of the overdetermined boundary conditions via minimization of suitable functionals with respect to the domain.