Multiplicity of positive solutions for a gradient type cooperative/competitive elliptic system

Autor: Kaye Silva, Steffanio Moreno Sousa
Jazyk: angličtina
Rok vydání: 2020
Předmět:
Zdroj: Electronic Journal of Differential Equations, Vol 2020, Iss 10,, Pp 1-14 (2020)
Druh dokumentu: article
ISSN: 1072-6691
Popis: We study the existence of positive solutions for gradient type cooperative, competitive elliptic systems, which depends on real parameters $\lambda,\mu$. Our analysis is purely variational and depends on finer estimates with respect to the Nehari sets, in fact, we determine the extremal parameter $\lambda^*(\mu)$ 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.
Databáze: Directory of Open Access Journals