Bifurcation and multiplicity results for critical \(p\)-Laplacian problems

DOI10.12775/TMNA.2015.093zbMath1379.35153arXiv1407.4505OpenAlexW2963497903MaRDI QIDQ519277

Marco Squassina, Yingchen Yang, Perera, Kanishka

Publication date: 4 April 2017

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

Full work available at URL: https://arxiv.org/abs/1407.4505

zbMATH Keywords

bifurcation\(p\)-Laplaciancritical nonlinearity

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Variational methods for second-order elliptic equations (35J20) Bifurcations in context of PDEs (35B32) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (11)

New multiplicity results for critical \(p\)-Laplacian problems ⋮ Multiplicity results for degenerate fractional \(p\)-Laplacian problems with critical growth ⋮ Multiplicity results for critical \(p\)-Laplacian problems ⋮ Multiplicity of nontrivial solutions for a critical degenerate Kirchhoff type problem ⋮ Existence and multiplicity of solutions for critical Kirchhoff-type \(p\)-Laplacian problems ⋮ The Brézis-Nirenberg type problem for the \(p\)-Laplacian: infinitely many sign-changing solutions ⋮ On the existence of ground state solutions to critical growth problems nonresonant at zero ⋮ Bifurcation and multiplicity results for critical fractionalp-Laplacian problems ⋮ Multiplicity results for solutions of \(p\)-biharmonic problems ⋮ \(p\)-Laplacian problems involving critical Hardy-Sobolev exponents ⋮ Some bifurcation results and multiple solutions for the \(p\)-Laplacian equation

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