Homogeneous eigenvalue problems in Orlicz-Sobolev spaces
Analysis of PDEs
2022-05-20 v1
Abstract
In this article we consider a homogeneous eigenvalue problem ruled by the fractional Laplacian operator whose Euler-Lagrange equation is obtained by minimization of a quotient involving Luxemburg norms. We prove existence of an infinite sequence of variational eigenvalues and study its behavior as the fractional parameter among other stability results.
Cite
@article{arxiv.2205.09621,
title = {Homogeneous eigenvalue problems in Orlicz-Sobolev spaces},
author = {Julian Fernandez Bonder and Ariel Salort and Hernan Vivas},
journal= {arXiv preprint arXiv:2205.09621},
year = {2022}
}
Comments
25 pages, submitted