Some counterexamples related to the stationary Kirchhoff equation

DOI10.1090/proc/12971zbMath1341.35030OpenAlexW2336666424WikidataQ124795943 ScholiaQ124795943MaRDI QIDQ2809195

Leonelo Iturriaga, Jorge García-Melián

Publication date: 27 May 2016

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/proc/12971

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Nonlinear elliptic equations (35J60)

Related Items (11)

Existence result for a Kirchhoff elliptic system with variable parameters and additive right-hand side via sub- and supersolution method ⋮ Existence result for a Kirchhoff elliptic system involving p-Laplacian operator with variable parameters and additive right hand side via sub and super solution methods ⋮ Existence results for Kirchhoff type systems with singular nonlinearity ⋮ On a class of Kirchhoff type systems with singular nonlinearity ⋮ Sobolev versus Hölder local minimizers in degenerate Kirchhoff type problems ⋮ Existence of positive solutions for a population model involving nonlocal operator ⋮ On a Brezis-Oswald-type result for degenerate Kirchhoff problems ⋮ A new version of the sub-super solution method for non-local problem and existence of positive solution for the \(p\)-Kirchhoff system ⋮ Positive solution for an indefinite fourth-order nonlocal problem ⋮ Existence of positive solutions for a class of \(\left(p \left(x\right), q \left(x\right)\right)\)-Laplacian elliptic systems with multiplication of two separate functions ⋮ On necessary conditions for the comparison principle and the sub- and supersolution method for the stationary Kirchhoff equation

Cites Work

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• Existence and multiplicity of positive solutions for a class of \(p(x)\)-Kirchhoff type equations
• On the sub-supersolution method for \(p(x)\)-Kirchhoff type equations
• Study of a nonlinear Kirchhoff equation with non-homogeneous material
• On a class of problems involving a nonlocal operator.
• Some nonlinear wave equations with acoustic boundary conditions
• Existence of a positive solution for a Kirchhoff problem type with critical growth via truncation argument
• Existence of solution for a class of nonlocal elliptic problem via sub-supersolution method
• An existence result for a class of Kirchhoff type systems via sub and supersolutions method
• Positive solutions for a quasilinear elliptic equation of Kirchhoff type
• Some remarks on non local elliptic and parabolic problems
• A sub-supersolution approach for a quasilinear Kirchhoff equation

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