On the asymptotic behavior of $p$-fractional eigenvalues

TL;DR

This paper investigates the long-term growth patterns of variational eigenvalues associated with the $p$-fractional eigenvalue problem on smooth bounded domains with Dirichlet boundary conditions.

Contribution

It provides an asymptotic estimate for the growth behavior of these eigenvalues, advancing understanding of their asymptotic properties.

Findings

Derived an asymptotic estimate for eigenvalue growth

Enhanced understanding of $p$-fractional eigenvalue behavior

Applicable to smooth bounded domains with Dirichlet conditions

Abstract

In this note we obtain an asymptotic estimate for growth behavior of variational eigenvalues of the $p-$fractional eigenvalue problem on a smooth bounded domain with Dirichlet boundary condition.