New multiplicity results for critical $p$-Laplacian problems

Carlo Mercuri; Kanishka Perera

New multiplicity results for critical $p$-Laplacian problems

Analysis of PDEs 2021-06-23 v2

Authors: Carlo Mercuri , Kanishka Perera

Abstract

We prove new multiplicity results for the Brezis-Nirenberg problem for the $p$ -Laplacian. Our proofs are based on a new abstract critical point theorem involving the ${\mathbb Z}_2$ -cohomological index that requires less compactness than the (PS) condition.

Keywords

p-laplacian brezis-nirenberg problem multiplicity results critical point theorem cohomological index

Cite

@article{arxiv.2105.11379,
  title  = {New multiplicity results for critical $p$-Laplacian problems},
  author = {Carlo Mercuri and Kanishka Perera},
  journal= {arXiv preprint arXiv:2105.11379},
  year   = {2021}
}

Comments

arXiv admin note: text overlap with arXiv:2102.09131

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