On existence of three solutions for \(p(x)\)-Kirchhoff type differential inclusion problem via nonsmooth critical point theory

DOI10.11650/TJM.19.2015.4097zbMath1357.35127OpenAlexW2046733069MaRDI QIDQ514852

Zuowei Cai, Li-Hong Huang, Lian Duan

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.19.2015.4097

zbMATH Keywords

Palais-Smale conditiondifferential inclusionlocally Lipschitz functional\(p(x)\)-Kirchhoffnonsmooth three critical points theorem

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Nonlinear elliptic equations (35J60) Variational methods for second-order elliptic equations (35J20) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38)

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Existence and multiplicity of solutions for Kirchhoff-Schrödinger type equations involving \(p(x)\)-Laplacian on the entire space \(\mathbb{R}^N\) ⋮ Critical \(p(x)\)-Kirchhoff problems involving variable singular exponent

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