On the critical \(p\)-Kirchhoff equation
type: Item
instance of: scholarly article
title: On the critical \(p\)-Kirchhoff equation
zbMATH Open document ID: 1514.35238
arXiv ID: 2108.05285
author: Erisa Hasani
author: Kanishka Perera
published in: Topological Methods in Nonlinear Analysis
publication date: 2023-05-19T00:00:00Z
full work available at URL: https://arxiv.org/abs/2108.05285
Mathematics Subject Classification ID: 35J92
Mathematics Subject Classification ID: 35B33
Mathematics Subject Classification ID: 35A01
zbMATH DE Number: 7687274
zbMATH Keywords: \(p\)-Kirchhoff-type equation
zbMATH Keywords: critical Sobolev exponent
zbMATH Keywords: existence
zbMATH Keywords: multiplicity
zbMATH Keywords: Morse theory
MaRDI profile type: Publication
OpenAlex ID: W3189213622
cites work: Q3770926
cites work: Q4879409
cites work: A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
cites work: Infinite dimensional Morse theory and multiple solution problems
cites work: NONTRIVIAL SOLUTIONS OF p-SUPERLINEAR p-LAPLACIAN PROBLEMS VIA A COHOMOLOGICAL LOCAL SPLITTING
cites work: Generalized cohomological index theories for Lie group actions with an application to bifurcation questions for Hamiltonian systems
cites work: Q3092933
cites work: On the compactness threshold in the critical Kirchhoff equation
cites work: Q5352055
cites work: Existence of multiple nontrivial solutions for a \(p\)-Kirchhoff type elliptic problem involving sign-changing weight functions
cites work: On the Equation div( | ∇u | p-2 ∇u) + λ | u | p-2 u = 0
cites work: Critical point theory and Hamiltonian systems
cites work: On a \(p\)-Kirchhoff problem involving a critical nonlinearity
cites work: Critical groups of critical points produced by local linking with applications
cites work: Homological local linking
cites work: Nontrivial critical groups in \(p\)-Laplacian problems via the Yang index
cites work: Q3560017
cites work: \(p\)-Laplacian problems where the nonlinearity crosses an eigenvalue
cites work: Multiplicity of solutions for elliptic problems of \(p\)-Kirchhoff type with critical exponent
DOI: 10.12775/TMNA.2021.061
Recommended article: On a \(p\)-Kirchhoff problem involving a critical nonlinearity
Recommended article: On a critical Kirchhoff-type problem
Recommended article: On the critical \(p\)-Laplace equation
Recommended article: On Kirchhoff type equations with critical Sobolev exponent
Recommended article: Q4636959
Recommended article: On the Kirchhoff problems involving critical Sobolev exponent
Recommended article: A critical Kirchhoff‐type problem involving the ‐Laplacian
Recommended article: Nondegeneracy of solutions to the critical p$p$‐Laplace Kirchhoff equation
Recommended article: Nontrivial solutions for \(p\)-Kirchhoff type equations involving critical exponent
Recommended article: \(p\)-fractional Kirchhoff equations involving critical nonlinearities
description: scientific article; zbMATH DE number 7687274