$p$-Laplacian problems involving critical Hardy-Sobolev exponents

Kanishka Perera; Wenming Zou

$p$-Laplacian problems involving critical Hardy-Sobolev exponents

Analysis of PDEs 2016-09-08 v1

Authors: Kanishka Perera , Wenming Zou

Abstract

We prove existence, multiplicity, and bifurcation results for $p$ -Laplacian problems involving critical Hardy-Sobolev exponents. Our results are mainly for the case $\lambda \ge \lambda_1$ and extend results in the literature for $0 < \lambda < \lambda_1$ . In the absence of a direct sum decomposition, we use critical point theorems based on a cohomological index and a related pseudo-index.

Keywords

partial differential equations elliptic partial differential equations lp spaces and inequalities

Cite

@article{arxiv.1609.01804,
  title  = {$p$-Laplacian problems involving critical Hardy-Sobolev exponents},
  author = {Kanishka Perera and Wenming Zou},
  journal= {arXiv preprint arXiv:1609.01804},
  year   = {2016}
}

Comments

arXiv admin note: text overlap with arXiv:1602.01071, arXiv:1407.4505, arXiv:1406.6242

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