Electron. J. Differential Equations,
Vol. 2016 (2016), No. 254, pp. 1-18.
Multiple positive solutions to a fourth-order boundary-value problem
Alberto Cabada, Radu Precup, Lorena Saavedra, Stepan A. Tersian
Abstract:
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.
Submitted May 16, 2016. Published September 21, 2016.
Math Subject Classifications: 34B18, 47J30.
Key Words: Fourth-order differential equation; boundary-value problem;
positive solution; critical point; fixed point.
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Alberto Cabada
Instituto de Matemáticas
Facultade de Matemáticas
Universidade de Santiago de Compostela
Santiago de Compostela, Galicia, Spain
email: alberto.cabada@usc.es
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Radu Precup
Department of Mathematics
Babes-Bolyai University
400084 Cluj-Napoca, Romania
email: r.precup@math.ubbcluj.ro
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Lorena Saavedra
Instituto de Matemáticas
Facultade de Matemáticas
Universidade de Santiago de Compostela
Santiago de Compostela, Galicia, Spain
email: lorena.saavedra@usc.es
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Stepan A. Tersian
Department of Mathematics
University of Ruse, 7017 Ruse, Bulgaria.
Institute of Mathematics and Informatics
Bulgarian Academy of Sciences
1113 - Sofia, Bulgaria
email: sterzian@uni-ruse.bg
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