Sign changing solution of the hardy-sobolev-maz'ya equation
Analysis of PDEs
2014-09-16 v2
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.
Keywords
Cite
@article{arxiv.1401.2664,
title = {Sign changing solution of the hardy-sobolev-maz'ya equation},
author = {Debdip Ganguly},
journal= {arXiv preprint arXiv:1401.2664},
year = {2014}
}
Comments
12 pages, Advances in Nonlinear Analysis, 2014