Existence of three solutions for a perturbed two-point boundary value problem

Bonanno, Gabriele; Chinnì, A.

doi:10.1016/j.aml.2010.03.015

Cited by 29 publications

(21 citation statements)

References 16 publications

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“…In recent years, the three critical points theorem of B. Ricceri has been widely used to solve differential equations, see [1,2,3,5,6,7,9,12,13] and reference therein.…”

Section: Introduction and Main Resultsmentioning

confidence: 99%

Existence of three solutions for p-biharmonic equation

Li¹

2011

Journal of Nonlinear Analysis and Application

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“…In recent years, the three critical points theorem of B. Ricceri has been widely used to solve differential equations, see [1,2,3,5,6,7,9,12,13] and reference therein.…”

Section: Introduction and Main Resultsmentioning

confidence: 99%

Existence of three solutions for p-biharmonic equation

Li¹

2011

Journal of Nonlinear Analysis and Application

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“…Theorems 1 and 2 have been successfully employed to establish the existence of at least three solutions for perturbed boundary value problems in the papers [5,6,17].…”

Section: −ü(T) + A(t)u(t) = λ∇F (T U(t)) + µ∇G(t U(t))mentioning

confidence: 99%

Multiple Periodic Solutions for Perturbed Second-Order Impulsive Hamiltonian Systems

Graef

Heidarkhani²,

Kong³

2016

Int. J. of Pure and Appl. Math.

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“…Moreover, very recently, existence results for problems involving a perturbation term have been studied in [21][22][23] .…”

Section: Boundary Value Problemsmentioning

confidence: 99%

Infinitely Many Solutions for Perturbed Hemivariational Inequalities

D’Aguì

Bisci

2010

Bound Value Probl

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We deal with a perturbed eigenvalue Dirichlet-type problem for an elliptic hemivariational inequality involving the p-Laplacian. We show that an appropriate oscillating behaviour of the nonlinear part, even under small perturbations, ensures the existence of infinitely many solutions. The main tool in order to obtain our abstract results is a recent critical-point theorem for nonsmooth functionals.

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Existence of three solutions for a perturbed two-point boundary value problem

Cited by 29 publications

References 16 publications

Existence of three solutions for p-biharmonic equation

Existence of three solutions for p-biharmonic equation

Multiple Periodic Solutions for Perturbed Second-Order Impulsive Hamiltonian Systems

Infinitely Many Solutions for Perturbed Hemivariational Inequalities

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