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POSITIVE SOLUTIONS FOR phi-LAPLACIAN DIRICHLET BVPS
Journal article

POSITIVE SOLUTIONS FOR phi-LAPLACIAN DIRICHLET BVPS

Abdelhamid Benmezai, Smail Djebali and Toufik Moussaoui
FIXED POINT THEORY, Vol.8(2), pp.167-186
01/01/2007

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this paper, we present now existence results of nontrivial positive solutions for phi-Laplacian Dirichlet boundary value problems on bounded intervals of the real line. The nonlinear terms encompasses the sub-linear and super-linear cases. The Krasnosel'skii's fixed point theorem on cone expansion and compression is used. Applications to p-Laplacian problems and to the case of the sum of p-Laplacian and q-Laplacian (p not equal q) operators axe given.

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