On the critical \(p\)-Kirchhoff equation

DOI10.12775/tmna.2021.061zbMath1514.35238arXiv2108.05285OpenAlexW3189213622MaRDI QIDQ6044516

Erisa Hasani, Perera, Kanishka

Publication date: 19 May 2023

Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2108.05285

zbMATH Keywords

existencemultiplicityMorse theorycritical 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 with (p)-Laplacian (35J92)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Multiplicity of solutions for elliptic problems of \(p\)-Kirchhoff type with critical exponent
• Existence of multiple nontrivial solutions for a \(p\)-Kirchhoff type elliptic problem involving sign-changing weight functions
• Critical point theory and Hamiltonian systems
• Generalized cohomological index theories for Lie group actions with an application to bifurcation questions for Hamiltonian systems
• Nontrivial critical groups in \(p\)-Laplacian problems via the Yang index
• Infinite dimensional Morse theory and multiple solution problems
• On the compactness threshold in the critical Kirchhoff equation
• On a \(p\)-Kirchhoff problem involving a critical nonlinearity
• \(p\)-Laplacian problems where the nonlinearity crosses an eigenvalue
• A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
• On the Equation div( | ∇u | p-2 ∇u) + λ | u | p-2 u = 0
• NONTRIVIAL SOLUTIONS OF p-SUPERLINEAR p-LAPLACIAN PROBLEMS VIA A COHOMOLOGICAL LOCAL SPLITTING
• Homological local linking
• Critical groups of critical points produced by local linking with applications