Nontrivial solutions for nonlinear system involving non-compact resolvent operators
Abstract
This article establishes the existence of distributional solutions to a nonlinear system involving non-compact resolvent. By means of the Leray-Schauder degree theory, with suitable assumptions on the nonlinearities, the authors prove the existence of distributional solutions.
Copyright © 2022 Samira Lecheheb, Hakim Lakhal, Messaoud Maouni. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
S. Lecheheb, H. Lakhal, M. Maouni, Nontrivial solutions for nonlinear system involving non-compact resolvent operators, J. Math. Comput. Sci. 12 (2022), 204. https://doi.org/10.28919/jmcs/7617
BibTeX
@article{Lecheheb2022,
author = {Lecheheb, Samira and Lakhal, Hakim and Maouni, Messaoud},
title = {Nontrivial solutions for nonlinear system involving non-compact resolvent operators},
journal = {J. Math. Comput. Sci.},
volume = {12},
year = {2022},
pages = {204},
doi = {10.28919/jmcs/7617}
}