Existence and multiplicity of solutions for a Dirichlet problem in Fractional Orlicz- Sobolev spaces
Analysis of PDEs
2023-05-04 v2
Abstract
In this paper, we first prove the existence of solutions to Dirichlet problems involving the fractional -Laplacian operator and lower order terms by appealing to sub- and supersolution methods. Moreover, we also state the existence of extremal solutions. Afterwards, and under additional assumptions on the lower order structure, we establish by variational techniques the existence of multiple solutions: one positive, one negative and one with non-constant sign.
Keywords
Cite
@article{arxiv.2112.14520,
title = {Existence and multiplicity of solutions for a Dirichlet problem in Fractional Orlicz- Sobolev spaces},
author = {Pablo Ochoa and Analía Silva and Maria José Suarez Marziani},
journal= {arXiv preprint arXiv:2112.14520},
year = {2023}
}
Comments
29 pages New proof of Theorem 37