A critical points approach to multiplicity results for multi-point boundary value problems

DOI10.1080/00036811.2010.534729zbMath1232.34031OpenAlexW2090596296WikidataQ58144424 ScholiaQ58144424MaRDI QIDQ3096923

Shapour Heidarkhani, Lingju Kong, John R. Graef

Publication date: 15 November 2011

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2010.534729

zbMATH Keywords

multiplicitycritical pointthree solutionsmulti-point boundary value problems

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)

Related Items (6)

Multiplicity of solutions to a four-point boundary value problem of a differential system via variational approach ⋮ An existence result for impulsive multi-point boundary value systems using a local minimization principle ⋮ A variational approach to a Kirchhoff-type problem involving two parameters ⋮ Existence of solution of a three-point boundary value problem via variational approach ⋮ Multiple solutions for a class of multipoint boundary value systems driven by a one-dimensional \((p_1, \dots, p_n)\)-Laplacian operator ⋮ A critical points approach for the existence of multiple solutions of a Dirichlet quasilinear system

Cites Work

• Solvability of singular second order \(m\)-point boundary value problems
• Three solutions for a Dirichlet boundary value problem involving the \(p\)-Laplacian
• Multiplicity results for a class of gradient systems depending on two parameters
• A three critical points theorem revisited
• Second-order Sturm-Liouville boundary value problem involving the one-dimensional \(p\)-Laplacian
• Solvability of \(m\)-point boundary value problems with nonlinear growth
• Some remarks on a three critical points theorem
• Multiplicity theorems for the Dirichlet problem involving the \(p\)-Laplacian.
• Positive solutions of a nonlinear \(n\)th order boundary value problem with nonlocal conditions
• Singular perturbations for third-order nonlinear multi-point boundary value problem
• Multiple solutions to a three-point boundary value problem for higher-order ordinary differential equations
• EXISTENCE OF POSITIVE SOLUTIONS FOR SUPERLINEAR SEMIPOSITONE $m$-POINT BOUNDARY-VALUE PROBLEMS
• Existence of solutions for three-point boundary value problems for second order equations

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