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.
Department of Mathematics, Babes-Bolyai University, Cluj-Napoca, Romania
R. Precup, Two positive nontrivial solutions for a class of semilinear elliptic variational systems, J. Math. Anal. Appl. 373 (2011), 138-146, https://doi.org/10.1016/J.JMAA.2010.06.050
Journal of Mathematical Analysis and Applications
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