Non-variational weakly coupled elliptic systems
Analysis of PDEs
2022-03-29 v1
Abstract
We establish the existence of a nonnegative fully nontrivial solution to a non-variational weakly coupled competitive elliptic system. We show that this kind of solutions belong to a topological manifold of Nehari-type, and apply a degree-theoretical argument on this manifold to derive existence.
Cite
@article{arxiv.2105.01493,
title = {Non-variational weakly coupled elliptic systems},
author = {Mónica Clapp and Andrzej Szulkin},
journal= {arXiv preprint arXiv:2105.01493},
year = {2022}
}
Comments
21 pages