A class of critical \(p\)-Kirchhoff type equations on closed manifolds

DOI10.3934/DCDS.2023139OpenAlexW4388952115MaRDI QIDQ6195939

Xiaochun Liu, Nanbo Chen, Xiaojin Bai

Publication date: 14 March 2024

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2023139

zbMATH Keywords

critical exponentexistence and multiplicity\(p\)-Kirchhoff equations on a closed Riemann manifolds

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Elliptic equations on manifolds, general theory (58J05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Quasilinear elliptic equations (35J62)

Cites Work

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• Asymptotic estimates and blow-up theory for critical equations involving the \(p\)-Laplacian
• Standing waves for a class of Kirchhoff type problems in \(\mathbb R^3\) involving critical Sobolev exponents
• 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
• Free Ljusternik-Schnirelman theory and the bifurcation diagrams of certain singular nonlinear problems
• Combined effects of concave and convex nonlinearities in some elliptic problems
• Stationary Kirchhoff equations with powers
• Multiplicity of positive solutions for the Kirchhoff-type equations with critical exponent in \(\mathbb R^N\)
• Minimax theorems
• Compactness and stability for nonlinear elliptic equations
• A quasilinear elliptic equation with critical growth on compact Riemannian manifold
• On a \(p\)-Kirchhoff problem involving a critical nonlinearity
• Stationary Kirchhoff systems in closed high dimensional manifolds
• Multiplicity of solutions for critical Kirchhoff type equations
• Generalized scalar curvature type equations on compact Riemannian manifolds
• Multiple solutions for quasi-linear PDEs involving the critical Sobolev and Hardy exponents
• On the Brezis-Nirenberg Problem with a Kirchhoff Type Perturbation

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