Special Session 93: Recent trends in elliptic and parabolic equations

The existence and concentration behavior of positive ground state solutions for a class of Choquard type equations involving nonlocal(mixed) operators

Zu Gao
Wuhan University of Technology
Peoples Rep of China
Co-Author(s):    
Abstract:
In this paper, we first employ variational methods to show the existence of positive ground state solutions for f a class of Choquard type equations involving nonlocal(mixed) operators, where potential function is nonnegative and bounded away from 0 as |x| approaches infinity. Since the potential function possesses a homogeneous behavior, we then investigate the concentration behavior of positive ground state solutions.