Multiplicity of solutions for elliptic problems of \(p\)-Kirchhoff type with critical exponent

DOI10.1186/S13661-015-0489-ZzbMath1339.35111OpenAlexW2182059688WikidataQ59434992 ScholiaQ59434992MaRDI QIDQ284276

Yueqiang Song, Chenxing Zhou

Publication date: 17 May 2016

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-015-0489-z

zbMATH Keywords

variational methodcritical growthconcentration-compactness principle\(p\)-Kirchhoff-type problem

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Degenerate elliptic equations (35J70) Perturbations in context of PDEs (35B20) Variational methods for second-order elliptic equations (35J20)

Related Items (6)

Existence of solutions for $p$-Kirchhoff problem of Brézis-Nirenberg type with singular terms ⋮ On the critical \(p\)-Kirchhoff equation ⋮ Nontrivial solutions for a class of \(p\)-Kirchhoff Dirichlet problem ⋮ Multiplicity of positive solutions for a class of \(p\)-Kirchhoff equation with critical exponent ⋮ Positive solutions for a critical \(p\)-Laplacian problem with a Kirchhoff term ⋮ Existence of solutions to a class of \(p\)-Kirchhoff equations via Morse theory

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