Infinitely many solutions for class of Neumann quasilinear elliptic systems

DOI10.1186/1687-2770-2012-54zbMath1278.35080OpenAlexW2136103988WikidataQ59289672 ScholiaQ59289672MaRDI QIDQ372553

Davood Maghsoodi Shoorabi, Ghasem Alizadeh Afrouzi

Publication date: 9 October 2013

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-2770-2012-54

zbMATH Keywords

variational methodscritical point theoryNeumann systeminfinitely many solutions

Mathematics Subject Classification ID

Weak solutions to PDEs (35D30) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38) Quasilinear elliptic equations (35J62) Higher-order elliptic systems (35J48)

Related Items (1)

Infinitely many solutions for anisotropic variable exponent problems

Cites Work

• Infinitely many solutions for a fourth-order elastic beam equation
• Infinitely many weak solutions for a class of quasilinear elliptic systems
• Multiplicity results for a class of gradient systems depending on two parameters
• Infinitely many solutions for a Neumann-type differential inclusion problem involving the \(p(x)\)-Laplacian
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• Infinitely many critical points of non-differentiable functions and applications to a Neumann-type problem involving the \(p\)-Laplacian
• A general variational principle and some of its applications
• Existence of infinitely many solutions for a Neumann problem involving the \(p(x)\)-Laplacian
• On the Neumann problem for elliptic equations involving the \(p\)-Laplacian
• Infinitely many solutions for a class of nonlinear eigenvalue problem in Orlicz-Sobolev spaces
• Existence of three solutions for a class of Dirichlet quasilinear elliptic systems involving the \((p_1,\ldots ,p_n)\) -Laplacian
• Infinitely many solutions for a differential inclusion problem in \(\mathbb R^N\)
• THREE SOLUTIONS TO A CLASS OF NEUMANN DOUBLY EIGENVALUE ELLIPTIC SYSTEMS DRIVEN BY A (p₁,...,p_n)-LAPLACIAN
• INFINITELY MANY SOLUTIONS OF THE NEUMANN PROBLEM FOR ELLIPTIC EQUATIONS INVOLVING THE p-LAPLACIAN

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