Infinitely many solutions for nonlocal elliptic systems in Orlicz-Sobolev spaces

DOI10.1515/gmj-2021-2110zbMath1484.35192OpenAlexW3210684856MaRDI QIDQ2075122

Abdolrahman Razani, Samira Heidari

Publication date: 14 February 2022

Published in: Georgian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/gmj-2021-2110

zbMATH Keywords

Kirchhoff-type systemDirichlet condition, existence of infinitely many solutions

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Quasilinear elliptic equations (35J62) Boundary value problems for second-order elliptic systems (35J57)

Related Items (7)

Existence and multiplicity of solutions for \(p(x)\)-Laplacian problem with Steklov boundary condition ⋮ Infinitely many high energy solutions for nonlocal fourth-order equation with sigh-changing potential ⋮ On a class of nonlinear degenerate elliptic equations in weighted Sobolev spaces ⋮ A class of biharmonic nonlocal quasilinear systems consisting of Leray-Lions type operators with Hardy potentials ⋮ Solutions of an anisotropic elliptic problem involving nonlinear terms ⋮ An elliptic type inclusion problem on the Heisenberg Lie group ⋮ Existence and multiplicity of weak solutions for singular fourth-order elliptic systems

Cites Work

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• Quasilinear elliptic non-homogeneous Dirichlet problems through Orlicz-Sobolev spaces
• Multiplicity of solutions for a nonlocal elliptic system of \((p,q)\)-Kirchhoff type
• Neumann problems associated to nonhomogeneous differential operators in Orlicz-Sobolev spaces
• Infinitely many solutions for a boundary value problem with discontinuous nonlinearities
• Mountain pass type solutions for quasilinear elliptic equations
• On mixed norm Bergman-Orlicz-Morrey spaces
• Convex functional analysis
• Weak and strong detonation profiles for a qualitative model.
• Perturbed Kirchhoff-type Neumann problems in Orlicz-Sobolev spaces
• Two weak solutions for some Kirchhoff-type problem with Neumann boundary condition
• Regularity for minimizers for functionals of double phase with variable exponents
• On a nonlocal elliptic system of \(p\)-Kirchhoff-type under Neumann boundary condition
• A fourth order singular elliptic problem involving \(p\)-biharmonic operator
• Existence of solutions to a semilinear elliptic system trough Orlicz-Sobolev spaces
• Logarithmically improved regularity criterion for the Boussinesq equations in Besov spaces with negative indices
• Three solutions for a class of quasilinear elliptic systems in Orlicz–Sobolev spaces
• On the regularity criteria for the 3D magnetohydrodynamic equations via two components in terms of BMO space
• EIGENVALUE PROBLEMS ASSOCIATED WITH NONHOMOGENEOUS DIFFERENTIAL OPERATORS, IN ORLICZ–SOBOLEV SPACES
• Multiple solutions for Neumann systems in an Orlicz-Sobolev space setting
• Existence and multiplicity of solutions for a class of quasilinear elliptic systems in Orlicz-Sobolev spaces
• Chapman-Jouguet detonation profile for a qualitative model
• Existence of positive solutions for a quasilinear elliptic system of p-Kirchhoff type

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