The existence result for a \(p\)-Kirchhoff-type problem involving critical Sobolev exponent

DOI10.1155/2023/3247421zbMATH Open1547.35316MaRDI QIDQ6595746

Khadija Sabri, Hayat Benchira, Mohammed El Mokhtar Ould El Mokhtar, Atika Matallah

Publication date: 30 August 2024

Published in: Journal of Function Spaces (Search for Journal in Brave)

zbMATH Keywords

existencecritical Sobolev exponent\(p\)-Kirchhoff-type equation

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)

Cites Work

• Title not available (Why is that?)
• The concentration-compactness principle in the calculus of variations. The limit case. I
• The concentration-compactness principle in the calculus of variations. The limit case. II
• Multiplicity of positive solutions for some quasilinear elliptic equations in \(\mathbb{R}^N\) with critical Sobolev exponent
• Existence and multiplicity of solutions for critical Kirchhoff-type \(p\)-Laplacian problems
• Existence of a positive solution for a Kirchhoff problem type with critical growth via truncation argument
• Nonhomogeneous elliptic Kirchhoff equations of the \(p\)-Laplacian type
• Positive solutions of Kirchhoff type elliptic equations involving a critical Sobolev exponent
• Dual variational methods in critical point theory and applications
• A strong maximum principle for some quasilinear elliptic equations
• Quasilinear elliptic equations involving critical Sobolev exponents
• Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
• On a class of nonlocal elliptic problems with critical growth
• Multiple solutions for quasi-linear PDEs involving the critical Sobolev and Hardy exponents

Related Items (3)

Solutions to discrete nonlinear Kirchhoff-Choquard equations ⋮ An existence result for a \((p(x), q(x))\)-Kirchhoff type system with Dirichlet boundary conditions via topological degree method ⋮ On a class of Schrödinger-Kirchhoff-double phase problems with convection term and variable exponents

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