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.
Authors
Radu Precup
Department of Mathematics, Babes-Bolyai University, Cluj-Napoca, Romania
Keywords
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P. Jebelean, R. Precup, Poincare inequalities in reflexive cones, Appl. Math. Letters 24 (2011), 359-363, http://dx.doi.org/10.1016/j.aml.2010.10.024
also freely available at the publisher: http://dx.doi.org/10.1016/j.aml.2010.10.024
About this paper
Journal
Applied Mathematics Letters
Publisher Name
Elsevier
Print ISSN
Online ISSN
0893-9659
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