Existence of solutions for a critical (p1(x), … , pn(x))-Kirchhoff-type potential systems

DOI10.1080/00036811.2020.1802433zbMath1490.35144OpenAlexW3046995238MaRDI QIDQ5072941

Nabil Chems Eddine

Publication date: 5 May 2022

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2020.1802433

zbMATH Keywords

existencecritical Sobolev exponentsconcentration-compactness principleDirichlet condition\((p_1(x), \dots, p_n(x))\)-Kirchhoff-type systems

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) 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 (5)

Multiple solutions for a class of generalized critical noncooperative Schrödinger systems in \(\mathbb{R}^N\) ⋮ The Neumann problem for a class of generalized Kirchhoff-type potential systems ⋮ Bounded nonnegative weak solutions to anisotropic parabolic double phase problems with variable growth ⋮ A remark on finite element approximation of singular parabolic p(x, t)-Laplacian equation ⋮ Multiple positive solutions for an elliptic problem involving a critical Sobolev exponent

Cites Work

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• Existence and multiplicity of solutions for a \(p(x)\)-Laplacian equation with critical growth
• Lebesgue and Sobolev spaces with variable exponents
• Degenerate parabolic equations
• Nontrivial solutions of Kirchhoff-type problems via the Yang index
• The principle of concentration compactness in \(L^{p(x)}\) spaces and its application
• Electrorheological fluids: modeling and mathematical theory
• Regularity for minimizers for functionals of double phase with variable exponents
• On a nonlocal elliptic system of \(p\)-Kirchhoff-type under Neumann boundary condition
• Existence results for gradient elliptic systems with nonlinear boundary conditions
• Logarithmically improved regularity criterion for the Boussinesq equations in Besov spaces with negative indices
• Infinitely many solutions for nonlocal elliptic systems of (p₁(x),⋯,p_n(x))-Kirchhoff type
• On the regularity criteria for the 3D magnetohydrodynamic equations via two components in terms of BMO space
• The concentration-compactness principle for variable exponent spaces and applications
• A new regularity criterion for the nematic liquid crystal flows
• Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
• On an elliptic equation of p-Kirchhoff type via variational methods
• Some remarks on non local elliptic and parabolic problems
• Sobolev embeddings with variable exponent
• Flow of shear dependent electrorheological fluids
• On the Well-Posedness of the Kirchhoff String
• EXISTENCE OF SOLUTIONS FOR CRITICAL SYSTEMS WITH VARIABLE EXPONENTS
• Variable Exponent, Linear Growth Functionals in Image Restoration
• Global existence and uniform decay rates for the Kirchhoff-Carrier equation with nonlinear dissipation
• On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)

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