Existence and multiplicity of solutions for Kirchhoff-type potential systems with variable critical growth exponent

DOI10.1080/00036811.2021.1979223zbMath1518.35317OpenAlexW3200828448MaRDI QIDQ6099944

Nabil Chems Eddine

Publication date: 21 June 2023

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

Full work available at URL: https://doi.org/10.1080/00036811.2021.1979223

zbMATH Keywords

Kirchhoff-type systemscritical exponent, existence and multiplicity

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Boundary value problems for higher-order elliptic systems (35J58)

Related Items (3)

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 ⋮ Existence and multiplicity of solutions for a class of critical anisotropic elliptic equations of Schrödinger–Kirchhoff‐type

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
• 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
• Fractional calculus, zeta functions and Shannon entropy
• Existence of radial solutions for a \(p(x)\)-Laplacian Dirichlet problem
• Riemann zeta fractional derivative-functional equation and link with primes
• Hölder continuity of weak solutions of \(p\)-Laplacian PDEs with VMO coefficients
• Regularity for minimizers for functionals of double phase with variable exponents
• On a nonlocal elliptic system of \(p\)-Kirchhoff-type under Neumann boundary condition
• Commutators of fractional integral operators on Vanishing-Morrey spaces
• On interior regularity of minimizers of \(p(x)\)-energy functionals
• 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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