Multiple solutions for the nonhomogeneous fourth order elliptic equations of Kirchhoff-type

DOI10.11650/tjm.19.2015.4716zbMath1357.35113OpenAlexW1638373517MaRDI QIDQ514924

Haibo Chen, Li-Ping Xu

Publication date: 9 March 2017

Published in: Taiwanese Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11650/tjm.19.2015.4716

zbMATH Keywords

Mountain Pass TheoremEkeland's variational principlenonhomogeneousfourth order elliptic equations of Kirchhoff type

Mathematics Subject Classification ID

Higher-order elliptic equations (35J30) Variational methods for higher-order elliptic equations (35J35) Quasilinear elliptic equations (35J62)

Related Items (10)

On a p⋅-biharmonic problem of Kirchhoff type involving critical growth ⋮ Ground state solutions for the generalized extensible beam equations ⋮ Existence and multiplicity of systems of Kirchhoff-type equations with general potentials ⋮ Existence of solutions for the Schrödinger-Kirchhoff-Poisson systems with a critical nonlinearity ⋮ Infinitely many solutions of systems of Kirchhoff-type equations with general potentials ⋮ Nontrivial solutions for a fourth-order elliptic equation of Kirchhoff type via Galerkin method ⋮ Multiplicity and concentration of nontrivial solutions for the generalized extensible beam equations ⋮ Existence of nonnegative solutions for fourth order elliptic equations of Kirchhoff type with general subcritical growth ⋮ Multiplicity of solutions for a class of fourth-order elliptic equations of \(p(x)\)-Kirchhoff type ⋮ Multiple solutions for a fourth-order elliptic equation of Kirchhoff type with variable exponent

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