Monotone operator methods for a class of nonlocal multi-phase variable exponent problems
Analysis of PDEs
2025-02-11 v1 Mathematical Physics
math.MP
Abstract
In this paper, we study a class of nonlocal multi-phase variable exponent problems within the framework of a newly introduced Musielak-Orlicz Sobolev space. We consider two problems, each distinguished by the type of nonlinearity it includes. To establish the existence of at least one nontrivial solution for each problem, we employ two different monotone operator methods.
Cite
@article{arxiv.2502.06081,
title = {Monotone operator methods for a class of nonlocal multi-phase variable exponent problems},
author = {Mustafa Avci},
journal= {arXiv preprint arXiv:2502.06081},
year = {2025}
}
Comments
arXiv admin note: text overlap with arXiv:2501.17344