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On a weighted anisotropic eigenvalue problem

Part of: Elliptic equations and systems Partial differential equations

Published online by Cambridge University Press:  17 October 2024

Nunzia Gavitone  and
Rossano Sannipoli
Nunzia Gavitone*
Affiliation:
Dipartimento di Matematica e Applicazioni “R. Caccioppoli”. Università degli Studi di Napoli Federico II, 80126, Napoli, Italy
Rossano Sannipoli
Affiliation:
Dipartimento di Matematica “Tullio Levi-Civita”, Universitá degli Studi di Padova, 35131, Padova, Italy
*
Corresponding author: Nunzia Gavitone; Email: nunzia.gavitone@unina.it
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Abstract

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 a reverse Hölder type inequality for the corresponding eigenfunctions.

Keywords

Anisotropic p-LaplacianComparison resultsReverse Hölder inequality

MSC classification

Primary: 35B51: Comparison principles 35J62: Quasilinear elliptic equations

Information

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 67 , Issue 1 , January 2025 , pp. 72 - 85
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Copyright
© The Author(s), 2024. Published by Cambridge University Press on behalf of Glasgow Mathematical Journal Trust

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