Sign changing solution of the hardy-sobolev-maz'ya equation

Abstract

In this article we will study the existence, multiplicity and Morse index of sign changing solutions for the Hardy-Sobolev-Maz'ya(HSM) equation in bounded domain and involving critical growth. We obtain infinitely many sign changing solutions for HSM equation. We also establish an estimate on the Morse index for the sign changing solutions.

arXiv comment12 pages, Advances in Nonlinear Analysis, 2014

Cited by in corpus (1)

• Infinitely many sign changing solutions of an elliptic problem involving critical Sobolev and Hardy-Sobolev exponent