Multiplicity of positive solutions for a gradient type cooperative/competitive elliptic system
Date
2020-01-23
Authors
Silva, Kaye
Sousa, Steffanio Moreno
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
We study the existence of positive solutions for gradient type cooperative, competitive elliptic systems, which depends on real parameters λ, μ. Our analysis is purely variational and depends on finer estimates with respect to the Nehari sets, in fact, we determine the extremal parameter λ* (μ) 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.
Description
Keywords
Gradient systems, Cooperative/competitive systems, Nehari manifold, Variational methods, Extremal parameter
Citation
Silva, K., Sousa, S. M. (2020). Multiplicity of positive solutions for a gradient type cooperative/competitive elliptic system. <i>Electronic Journal of Differential Equations, 2020</i>(10), pp. 1-14.
Rights
Attribution 4.0 International
Rights Holder
This work is licensed under a Creative Commons Attribution 4.0 International License.