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On a weighted anisotropic eigenvalue problem

Analysis of PDEs 2025-02-05 v1

Abstract

In this paper we deal with a weighted eigenvalue problem for the anisotropic (p,q)(p,q)-Laplacian with Dirichlet boundary conditions. We study the main properties of the first eigenvalue and prove a reverse H\"older type inequality for the corresponding eigenfunctions.

Keywords

Cite

@article{arxiv.2401.16989,
  title  = {On a weighted anisotropic eigenvalue problem},
  author = {Nunzia Gavitone and Rossano Sannipoli},
  journal= {arXiv preprint arXiv:2401.16989},
  year   = {2025}
}

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17 pages