Nonlocal fourth-order Kirchhoff systems with variable growth: low and high energy solutions

DOI10.1007/s13348-014-0131-xzbMath1343.35100OpenAlexW1965515232MaRDI QIDQ276741

M. Mirzapour, Vicenţiu D. Rădulescu, Ghasem Alizadeh Afrouzi

Publication date: 4 May 2016

Published in: Collectanea Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13348-014-0131-x

zbMATH Keywords

critical point theoryvariational methodnonlocal problemnonlinear elliptic systems\((p(x), q(x))\)-Kirchhoff system

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear elliptic equations (35J60) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Variational methods for elliptic systems (35J50) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Weak solutions to PDEs (35D30)

Related Items (10)

On a \(p(x)\)-biharmonic Kirchhoff type problem with indefinite weight and no flux boundary condition ⋮ On a \(p(x)\)-Kirchhoff fourth order problem involving Leray-Lions type operators ⋮ On properties of positive solutions to nonlinear tri-harmonic and bi-harmonic equations with negative exponents ⋮ Existence of solutions for a critical Choquard-Kirchhoff problem with variable exponents ⋮ Existence of positive ground state solutions for a critical Kirchhoff type problem with sign-changing potential ⋮ Multiplicity of positive solutions for Kirchhoff systems ⋮ Existence of multiple positive solutions for a truncated Kirchhoff-type system involving weight functions and concave-convex nonlinearities ⋮ Existence results of infinitely many solutions for \(p(x)\)-Kirchhoff type triharmonic operator with Navier boundary conditions ⋮ Unnamed Item ⋮ A critical \(p(x)\)-biharmonic Kirchhoff type problem with indefinite weight under no flux boundary condition

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