Multiple positive solutions to a fourth-order boundary-value problem

Multiple positive solutions to a fourth-order boundary-value problem

We study the existence, localization 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 inequalit...

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Bibliographic Details
Main Authors: Alberto Cabada, Radu Precup, Lorena Saavedra, Stepan A. Tersian
Format: Article
Language:English
Published: Texas State University 2016-09-01
Series:Electronic Journal of Differential Equations
Subjects:
Fourth-order differential equation
boundary-value problem
positive solution
critical point
fixed point
Online Access:http://ejde.math.txstate.edu/Volumes/2016/254/abstr.html
Description
Summary:We study the existence, localization 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.
ISSN:1072-6691

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