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On $p$-Laplace equations with a critical Hardy-Sobolev exponent and a Hardy potential

Analysis of PDEs 2024-08-29 v1
Authors: Phuong Le
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Abstract

For N≥2N\ge2 and 1<p<N1<p<N, we classify all positive D1,p(RN)\mathcal{D}^{1,p}(\mathbb{R}^N)-solutions to pp-Laplace equations with a critical Hardy-Sobolev exponent and a Hardy potential.

Keywords

$p$-Laplace equation Hardy-Sobolev exponent Hardy potential positive solutions D\^{1,p}

Cite

@article{arxiv.2408.15574,
  title  = {On $p$-Laplace equations with a critical Hardy-Sobolev exponent and a Hardy potential},
  author = {Phuong Le},
  journal= {arXiv preprint arXiv:2408.15574},
  year   = {2024}
}

Comments

13 pages

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