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Twin positive solutions for the one-dimensional p-Laplacian boundary value problems

✍ Scribed by Xiaoming He; Weigao Ge

Publisher: Elsevier Science
Year: 2004
Tongue: English
Weight: 189 KB
Volume: 56
Category: Article
ISSN: 0362-546X
DOI: 10.1016/j.na.2003.07.022

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✦ Synopsis

In this paper we study the existence of multiple positive solutions for the equation (g(u )) + e(t)f(u) = 0, where g(v) := |v| p-2 v; p ¿ 1, subject to nonlinear boundary conditions. We show the existence of at least two positive solutions by using a new three functionals ÿxed point theorem in cones.

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