Poincare inequalities in reflexive cones

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

Petru Jebelean
West University of Timişoara, Department of Mathematics, Timişoara, Romania

Radu Precup
Department of Mathematics, Babes-Bolyai University, Cluj-Napoca, Romania

Keywords

Reflexive cone; Compact embedding; Trace operator; Boundary value problem; A priori bounds

Paper coordinates

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

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About this paper

Journal

Applied Mathematics Letters

Publisher Name

Elsevier

Print ISSN
Online ISSN

0893-9659

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