Positive solutions for a Kirchhoff problem of Brezis-Nirenberg type in dimension four

DOI10.1016/J.NA.2024.113675MaRDI QIDQ6650533

Giovanni Anello, L. Vilasi

Publication date: 9 December 2024

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

zbMATH Keywords

existence of positive solutionsDirichlet conditionKirchhoff problem of Brezis-Nirenberg-type

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Quasilinear elliptic equations (35J62) Positive solutions to PDEs (35B09)

Cites Work

• Existence and multiplicity of positive solutions of a critical Kirchhoff type elliptic problem in dimension four.
• Vorlesungen über mathematische Physik. I. Mechanik.
• Existence of a positive solution for a Kirchhoff problem type with critical growth via truncation argument
• On the Brezis-Nirenberg problem for a Kirchhoff type equation in high dimension
• Positive solutions of Kirchhoff type elliptic equations involving a critical Sobolev exponent
• Editorial. Progress in nonlinear Kirchhoff problems
• Multiple positive solutions for a class of Kirchhoff type problems involving critical Sobolev exponents
• The critical problem of Kirchhoff type elliptic equations in dimension four
• Positive solutions for a quasilinear elliptic equation of Kirchhoff type
• Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
• On a class of nonlocal elliptic problems with critical growth
• A critical Kirchhoff‐type problem involving the ‐Laplacian
• Asymptotic profiles for a nonlinear Kirchhoff equation with combined powers nonlinearity

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