Existence of solutions to a class of nonlinear second order two-point boundary value problems

DOI10.1016/j.jmaa.2005.03.043zbMath1088.34012OpenAlexW2078225760MaRDI QIDQ2573454

Zhanping Liang, Qi Zhang, Fuyi Li

Publication date: 22 November 2005

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2005.03.043

zbMATH Keywords

critical point theorytwo-point boundary value problemsmountain pass lemmastrongly monotone operator principleP.S. condition

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Nonlinear boundary value problems for ordinary differential equations (34B15) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07)

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Cites Work

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• Multiple positive solutions of nonlinear two-point boundary value problems
• Positive solutions of semilinear differential equations with singularities
• Multiple positive solutions of some boundary value problems
• Positive solutions for nonlinear eigenvalue problems
• General Lidstone problems: Multiplicity and symmetry of solutions
• Multiple symmetric nonnegative solutions of second-order ordinary differential equations.
• Generalization for Amann's and Leggett--Williams' three-solution theorems and applications
• On the Existence of Positive Solutions of Ordinary Differential Equations

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