Kaye Silva, Steffanio Moreno Sousa
Abstract:
We study the existence of positive solutions for gradient type cooperative,
competitive elliptic systems, which depends on real parameters
.
Our analysis is purely variational and depends on finer estimates with respect
to the Nehari sets, in fact, we determine the extremal parameter
for which the Nehari set is a manifold and hence standard variational techniques
can be applied. We also discuss the cases where the Nehari set is not a manifold.
Submitted December 21, 2019. Published January 23, 2020.
Math Subject Classifications: 35A02, 35A15, 35B32.
Key Words: Gradient systems; cooperative/competitive systems;
Nehari manifold; variational methods; extremal parameter.
DOI: 10.58997/ejde.2020.10
Show me the PDF file (367 KB), TEX file for this article.
| Kaye Silva Instituto de Matemática e Estatística Universidade Federal de Goiás, 74001-970, Goiânia, GO, Brazil email: kayesilva@ufg.br | |
 |
Steffânio Moreno Sousa Instituto de Matemática e Estatística Universidade Federal de Goiás 74001-970, Goiânia, GO, Brazil email: steffaniom@gmail.com |
Return to the EJDE web page