Existence of three distinct solutions to boundary value problems of nonlinear differential equations with a \(p\)-Laplacian operator

DOI10.1016/j.aml.2013.06.013zbMath1311.34043OpenAlexW2006977117MaRDI QIDQ2345106

Jingli Xie, Zhi-guo Luo

Publication date: 19 May 2015

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2013.06.013

zbMATH Keywords

boundary value problemthree solutionscritical point theorem

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15)

Related Items (4)

Subharmonic solutions with prescribed minimal period of an impulsive forced pendulum equation ⋮ Multiple solutions of second-order damped impulsive differential equations with mixed boundary conditions ⋮ Three solutions to impulsive differential equations involving \(p\)-Laplacian ⋮ Periodic and subharmonic solutions for a class of the second-order Hamiltonian systems with impulsive effects

Cites Work

• An application of variational method to a class of Dirichlet boundary value problems with impulsive effects
• Three solutions for a p-Laplacian boundary value problem with impulsive effects
• Existence and multiplicity of solutions for an impulsive boundary value problem with a parameter via critical point theory
• Infinitely many solutions for a class of nonlinear impulsive differential equations with periodic boundary conditions
• Variational methods to mixed boundary value problem for impulsive differential equations with a parameter
• Variational approach to impulsive differential equations
• Existence and multiplicity of solutions for some Dirichlet problems with impulsive effects
• Variational approach to impulsive differential equations with periodic boundary conditions
• An application of variational methods to Dirichlet boundary value problem with impulses
• Three symmetric positive solutions for a second-order boundary value problem
• On a three critical points theorem
• A multiplicity result for second order impulsive differential equations via the Leggett Williams fixed point theorem
• Multiple positive solutions of singular and nonsingular discrete problems via variational methods
• Multiple nontrivial solutions for a class of higher dimensional discrete boundary value problems
• A critical points theorem and nonlinear differential problems
• APPLICATIONS OF VARIATIONAL METHODS TO BOUNDARY-VALUE PROBLEM FOR IMPULSIVE DIFFERENTIAL EQUATIONS

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