Special Session 151: 

EXISTENCE AND SYMMETRIC PROPERTIES OF SOLUTION TO THE NEUMANN PROBLEM OF HARDY-SOBOLEV EQUATION WITH HARDY POTENTIAL

Gyeongha Hwang
NCTS
Taiwan
Co-Author(s):    Jann-Long Chern
Abstract:
We consider the nonlinear Neumann problem of Hardy-Sobolev equation with Hardy potential. Firstly, We establish existence of infinitely many positive radial solution which is singular at $O$ under some condition. Secondly, we prove existence and regularity of a least energy solution. Lastly, we verify the symmetric property of a regular least energy solution.