English

On a class of critical $N$-Laplacian problems

Analysis of PDEs 2022-05-17 v2

Abstract

We establish some existence results for a class of critical NN-Laplacian problems in a bounded domain in RN{\mathbb R}^N. In the absence of a suitable direct sum decomposition, we use an abstract linking theorem based on the Z2{\mathbb Z}_2-cohomological index to obtain a nontrivial critical point.

Keywords

Cite

@article{arxiv.2111.11611,
  title  = {On a class of critical $N$-Laplacian problems},
  author = {Tsz Chung Ho and Kanishka Perera},
  journal= {arXiv preprint arXiv:2111.11611},
  year   = {2022}
}