Multiple positive solutions to a fourth order boundary value problem

2015/11/06 by Alberto Cabada, Cabada, Alberto, Radu Precup +5
Mathematics · #Differential Equations and Boundary Problems #Differential Equations and Numerical Methods #Nonlinear Differential Equations Analysis #math.CA #msc:34B18 #msc:47J30

paper · pdf · doi:10.48550/arxiv.1511.02129

arxiv created 2015/11/06 · arxiv updated 2015/11/09

Abstract

We study the existence and multiplicity of positive solutions for a nonlinear fourth-order two-point boundary value problem. The approach is based on critical point theorems in conical shells, Krasnoselskii's compression-expansion theorem, and unilateral Harnack type inequalities.

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