Multiplicity results for a perturbed elliptic Neumann problem

DOI10.1155/2010/564363zbMath1207.35118OpenAlexW2116623546WikidataQ58649877 ScholiaQ58649877MaRDI QIDQ1957587

Giuseppina D'Aguì, Gabriele Bonanno

Publication date: 27 September 2010

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2010/564363

zbMATH Keywords

existencevariational methodselliptic Neumann problem

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Perturbations in context of PDEs (35B20) Variational methods for second-order elliptic equations (35J20)

Related Items (23)

Multiple solutions for a class of perturbed second-order differential equations with impulses ⋮ Multiplicity results for elliptic problems with variable exponent and nonhomogeneous Neumann conditions ⋮ Multiple solutions for systems of Sturm-Liouville boundary value problems ⋮ Multiple solutions for a Kirchhoff-type second-order impulsive differential equation on the half-line ⋮ Qualitative analysis of gradient-type systems with oscillatory nonlinearities on the Sierpiński gasket ⋮ Three solutions for impulsive fractional boundary value problems with \(p\)-Laplacian ⋮ Existence of solutions to boundary value problem for impulsive fractional differential equations ⋮ Three solutions to a perturbed nonlinear discrete Dirichlet problem ⋮ Multiplicity of Solutions for a Class of Nonlinear Fractional Boundary Value Systems via Variational Approach ⋮ Infinitely many solutions for a class of fractional boundary value problem with $p$-Laplacian with impulsive effects ⋮ Existence of three solutions for perturbed nonlinear fractional \(p\)-Laplacian boundary value systems with two control parameters ⋮ Infinitely many solutions to elliptic problems with variable exponent and nonhomogeneous Neumann conditions ⋮ Infinite existence solutions of fractional systems with Lipschitz nonlinearity ⋮ Multiple solutions for a perturbed fourth-order Kirchhoff type elliptic problem ⋮ Variational approaches for a \(p\)-Laplacian boundary-value problem with impulsive effects ⋮ Variational approaches to impulsive elastic beam equations of Kirchhoff type ⋮ On existence of sequences of weak solutions of fractional systems with Lipschitz nonlinearity ⋮ Unnamed Item ⋮ THREE NON-ZERO SOLUTIONS FOR ELLIPTIC NEUMANN PROBLEMS ⋮ Unnamed Item ⋮ Critical points approaches to a nonlocal elliptic problem driven by \(p(x)\)-biharmonic operator ⋮ Unnamed Item ⋮ Unnamed Item

Cites Work

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• Non-differentiable functionals and applications to elliptic problems with discontinuous nonlinearities
• Multiple solutions for two nonlinear problems involving the \(p\)-Laplacian
• Existence of solutions to nonlinear Neumann boundary value problems with generalized \(p\)-Laplacian operator
• Three solutions to a Neumann problem for elliptic equations involving the \(p\)-Laplacian
• Multiple solutions of a class of Neumann problem for semilinear elliptic equations
• A note on the Neumann problem
• The applications of sums of ranges of accretive operators to nonlinear equations involving the P-Laplacian operator
• On the structure of the critical set of non-differentiable functions with a weak compactness condition

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