Eigenvalues and minimizers for a non-standard growth non-local operator

TL;DR

This paper investigates the eigenvalues and minimizers of a fractional non-standard growth problem, establishing properties of these quantities and their eigenfunctions within a non-local operator framework.

Contribution

It introduces new theoretical results on eigenvalues and minimizers for a fractional non-standard growth operator, expanding understanding of their properties.

Findings

Properties of eigenvalues established

Characteristics of eigenfunctions analyzed

Theoretical framework for non-local operators developed

Abstract

In this article we study eigenvalues and minimizers of a fractional non-standard growth problem. We prove several properties on this quantities and their corresponding eigenfunctions.