Article ID Journal Published Year Pages File Type
4618861 Journal of Mathematical Analysis and Applications 2011 9 Pages PDF
Abstract

We obtain existence and localization results of positive nontrivial solutions for a class of semilinear elliptic variational systems. The proof is based on variants of Schechter's localized critical point theorems for Hilbert spaces not identified to their duals and on the technique of inverse-positive matrices. The Leray–Schauder boundary condition is also involved.

Related Topics
Physical Sciences and Engineering Mathematics Analysis