Existence and multiplicity of positive solutions for \(p\)-Kirchhoff type problem with singularity

DOI10.1186/S13661-017-0771-3zbMath1376.35057OpenAlexW2601651849WikidataQ59526154 ScholiaQ59526154MaRDI QIDQ525007

Dechen Wang, Baoqiang Yan

Publication date: 27 April 2017

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

Full work available at URL: https://doi.org/10.1186/s13661-017-0771-3

zbMATH Keywords

positive solutionsvariational methods\(p\)-Kirchhoff type problem

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Nonlinear elliptic equations (35J60) Positive solutions to PDEs (35B09)

Related Items (3)

Uniqueness of positive solutions for a class of \(p\)-Kirchhoff type problems with singularity ⋮ The sign-changing solutions for a class of nonlocal elliptic problem in an annulus ⋮ Infinitely many high energy solutions for the generalized Chern-Simons-Schrödinger system

Cites Work

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• Multiple positive solutions for Kirchhoff type of problems with singularity and critical exponents
• The Nehari manifold for a Kirchhoff type problem involving sign-changing weight functions
• A fibering map approach to a potential operator equation and its applications.
• Nontrivial solutions of Kirchhoff-type problems via the Yang index
• Sign changing solutions of Kirchhoff type problems via invariant sets of descent flow
• Existence results of positive solutions of Kirchhoff type problems
• Existence of multiple nontrivial solutions for a \(p\)-Kirchhoff type elliptic problem involving sign-changing weight functions
• Positive solutions for a nonlinear nonlocal elliptic transmission problem
• On the variational principle
• Multiple positive solutions for Kirchhoff type problems with singularity
• Existence and multiplicity of positive solutions for a class of Kirchhoff type problems with singularity
• On a class of nonlocal elliptic problems with critical growth
• Some remarks on non local elliptic and parabolic problems
• Multiple nontrivial solutions to a \(p\)-Kirchhoff equation

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