Ground state solutions and least energy sign-changing solutions for a class of fourth order Kirchhoff-type equations in \(\mathbb R^N\)

DOI10.1016/j.ajmsc.2016.06.003zbMath1357.35115OpenAlexW2465319434MaRDI QIDQ504351

Sofiane Khoutir, Haibo Chen

Publication date: 16 January 2017

Published in: Arab Journal of Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ajmsc.2016.06.003

zbMATH Keywords

Nehari methodground state solutionfourth order Kirchhoff-type equationsleast energy sign-changing solution

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Nonlinear elliptic equations (35J60) Variational methods for higher-order elliptic equations (35J35)

Related Items

Existence and multiplicity of solutions for nonlocal fourth-order elliptic equations with combined nonlinearities ⋮ A Galerkin–Newton Algorithm for Solution of a Kirchhoff-Type Static Equation ⋮ Infinitely many high energy solutions for nonlocal fourth-order equation with sigh-changing potential ⋮ Nontrivial solutions for a fourth-order elliptic equation of Kirchhoff type via Galerkin method ⋮ Unnamed Item

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