Infinitely many solutions for nonlocal elliptic systems of (p1(x),⋯,pn(x))-Kirchhoff type

DOI10.1002/mma.3642zbMath1338.35187OpenAlexW1918684265MaRDI QIDQ2814090

Qing Miao

Publication date: 17 June 2016

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.3642

zbMATH Keywords

multiplicityKirchhoff typegeneralized Lebesgue-Sobolev spacesRicceri's variational principle

Mathematics Subject Classification ID

Nonlinear boundary value problems for nonlinear elliptic equations (35J66)

Related Items (5)

Existence of solutions for a critical (p₁(x), … , p_n(x))-Kirchhoff-type potential systems ⋮ Multiple solutions for a nonlocal elliptic problem involving \((p(x), q(x))\)-biharmonic operator ⋮ Generalized critical Kirchhoff-type potential systems with Neumann Boundary conditions ⋮ Existence and multiplicity of solutions for Kirchhoff-type potential systems with variable critical growth exponent ⋮ Existence and multiplicity of weak solutions for singular fourth-order elliptic systems

Cites Work

• Unnamed Item
• Multiple solutions for nonlocal system of \((p(x), q(x))\)-Kirchhoff type
• Existence of three solutions for some equation of Kirchhoff type involving variable exponents
• Infinitely many solutions to elliptic problems with variable exponent and nonhomogeneous Neumann conditions
• Solutions for a \(p(x)\)-Kirchhoff type equation with Neumann boundary data
• Infinitely many non-negative solutions for a \(p(x)\)-Kirchhoff-type problem with Dirichlet boundary condition
• Multiple solutions for a class of Neumann doubly eigenvalue boundary value systems involving the \((p_1(x),\dots,p_n(x))\)-Laplacian
• On a \(p\)-Kirchhoff equation via Krasnoselskii's genus
• On a \(p\)-Kirchhoff equation via fountain theorem and dual fountain theorem
• A general variational principle and some of its applications
• Existence of solutions for a \(p(x)\)-Kirchhoff-type equation
• Multiple solutions for ap(x)-Kirchhoff-type equation with sign-changing nonlinearities
• On an elliptic equation of p-Kirchhoff type via variational methods
• Sobolev embedding theorems for spaces \(W^{k,p(x)}(\Omega)\)
• On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)

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