Multiple positive solutions for a class of variational systems
Document Type
Article
Publication Date
1-1-2017
Publication Title
Topological Methods in Nonlinear Analysis
Volume
50
Issue
1
First page number:
1
Last page number:
8
Abstract
We consider the variational system −∆u = λ(∇F)(u) in Ω, u = 0 on ∂Ω, where Ω is a bounded region in ℝm (m ≥ 1) with C1 boundary, λ is a positive parameter, u: Ω → ℝN (N > 1), and ∆ denotes the Laplace operator. Here F: ℝN → ℝ is a function of class C2. Using variational methods, we show how changes in the sign of F lead to multiple positive solutions. © 2017 Juliusz Schauder Centre for Nonlinear Studies Nicolaus Copernicus University.
Language
english
Repository Citation
Castro, A.,
Costa, D.,
Shivaji, R.
(2017).
Multiple positive solutions for a class of variational systems.
Topological Methods in Nonlinear Analysis, 50(1),
1-8.
http://dx.doi.org/10.12775/TMNA.2017.016