Weyl-type laws for fractional p-eigenvalue problems

TL;DR

This paper establishes an asymptotic estimate for the growth rate of eigenvalues associated with fractional p-Laplacian problems, providing insights into their spectral properties on smooth bounded domains.

Contribution

It introduces a Weyl-type law for fractional p-eigenvalues, extending classical spectral asymptotics to nonlocal, nonlinear operators.

Findings

Derived an asymptotic estimate for eigenvalue growth

Extended Weyl law concepts to fractional p-Laplacian

Provided spectral insights for nonlocal operators

Abstract

We prove an asymptotic estimate for the growth of variational eigenvalues of fractional p-Laplacian eigenvalue problems on a smooth bounded domain.