On the existence of solutions for a class of fourth order elliptic equations of Kirchhoff type with variable exponent

DOI10.31197/ATNAA.495567zbMath1438.35140OpenAlexW2953458609MaRDI QIDQ5228683

Nguyen Thanh Chung

Publication date: 12 August 2019

Published in: Advances in the Theory of Nonlinear Analysis and its Application (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.31197/atnaa.495567

zbMATH Keywords

Ekeland's variational principlevariable exponentsKirchhoff type problemsfourth order elliptic equations

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Nonlinear elliptic equations (35J60) Boundary value problems for nonlinear higher-order PDEs (35G30) Variational methods for higher-order elliptic equations (35J35)

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A Galerkin–Newton Algorithm for Solution of a Kirchhoff-Type Static Equation ⋮ Existence and multiplicity of solutions for a biharmonic equation with \(p(x)\)-Kirchhoff type

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