Lower bounds for fractional Orlicz-type eigenvalues
Analysis of PDEs
2025-09-24 v2
Abstract
In this article, we establish precise lower bounds for the eigenvalues and critical values associated with the fractional Laplacian operator, where is a Young function. The obtained bounds are expressed in terms of the domain geometry and the growth properties of the function . We emphasize that we do not assume that or its complementary function satisfies the condition.
Cite
@article{arxiv.2502.15423,
title = {Lower bounds for fractional Orlicz-type eigenvalues},
author = {Ariel Salort},
journal= {arXiv preprint arXiv:2502.15423},
year = {2025}
}