On a weighted anisotropic eigenvalue problem

Fuente: arXiv
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Main Authors: Gavitone, Nunzia, Sannipoli, Rossano
Format: Preprint
Published: 2024
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author Gavitone, Nunzia
Sannipoli, Rossano
author_facet Gavitone, Nunzia
Sannipoli, Rossano
contents In this paper we deal with a weighted eigenvalue problem for the anisotropic $(p,q)$-Laplacian with Dirichlet boundary conditions. We study the main properties of the first eigenvalue and prove a reverse Hölder type inequality for the corresponding eigenfunctions.
format Preprint
id arxiv_https___arxiv_org_abs_2401_16989
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle On a weighted anisotropic eigenvalue problem
Gavitone, Nunzia
Sannipoli, Rossano
Analysis of PDEs
35B51, 35J62
In this paper we deal with a weighted eigenvalue problem for the anisotropic $(p,q)$-Laplacian with Dirichlet boundary conditions. We study the main properties of the first eigenvalue and prove a reverse Hölder type inequality for the corresponding eigenfunctions.
title On a weighted anisotropic eigenvalue problem
topic Analysis of PDEs
35B51, 35J62
url https://arxiv.org/abs/2401.16989