The infimum eigenvalue for degenerate p(x)-biharmonic operator with the Hardy potentiel-Reference-Cited by-同舟云学术

The infimum eigenvalue for degenerate p(x)-biharmonic operator with the Hardy potentiel

Published:2022-12-28 Issue: Volume:41 Page:1-16
ISSN:2175-1188
Container-title:Boletim da Sociedade Paranaense de Matemática
language:en
Short-container-title:bspm

Author:

Belakhdar Adnane^ORCID,Belaouidel Hassan^ORCID,Filali Mohammed,Tsouli Najib

Abstract

The aim of this article is to study the existence of at least one unbounded nondecreasing sequence of nonnegative eigenvalues (λk)k≥1 for a class of elliptic Navier boundary value problems involving the degenerate p(·)-biharmonic operator with q(x)-Hardy inequality by using the variational technique based on the Ljusternik-Schnirelmann theory on C1-manifolds and the theory of the variable exponent Lebesgue spaces. Also, we obtain the positivity of the infimum eigenvalue for the problem.

Publisher

Sociedade Paranaense de Matematica

Subject

General Mathematics

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