Eigenvalue problems in fractional anisotropic Orlicz-Sobolev spaces
Analysis of PDEs
2023-10-31 v1
Abstract
In this paper, we introduce the fractional anisotropic Orlicz-Sobolev spaces, and by using some variational methods, we establish the existence or non-existence of eigenvalues of fractional anisotropic problems involving a nonlocal integro-differential operator of elliptic type. In each case, the competition between the growth rates of the anisotropic coefficients plays an essential role in the description of the set of eigenvalues.
Cite
@article{arxiv.2310.18476,
title = {Eigenvalue problems in fractional anisotropic Orlicz-Sobolev spaces},
author = {Mohammed Srati},
journal= {arXiv preprint arXiv:2310.18476},
year = {2023}
}