Asymptotic behavior of the eigenvalues of the p(x)-Laplacian

TL;DR

This paper investigates the long-term behavior of eigenvalues associated with the p(x)-Laplacian operator, providing asymptotic estimates that enhance understanding of its spectral properties.

Contribution

It introduces asymptotic estimates for the eigenvalues of the p(x)-Laplacian, aligning with a recently proposed homogeneous first eigenvalue concept.

Findings

Derived asymptotic estimates for eigenvalues

Enhanced understanding of p(x)-Laplacian spectral properties

Connected eigenvalue behavior with homogeneous first eigenvalue notion

Abstract

We obtain asymptotic estimates for the eigenvalues of the p(x)-Laplacian defined consistently with a homogeneous notion of first eigenvalue recently introduced in the literature.