Multiple Solutions for a Class of Differential Inclusion System Involving the (p(x), q(x))‐Laplacian

Bin Ge and Ji-Hong Shen

Abstract and Applied Analysis, 2012, vol. 2012, issue 1

Abstract: We consider a differential inclusion system involving the (p(x), q(x))‐Laplacian with Dirichlet boundary condition on a bounded domain and obtain two nontrivial solutions under appropriate hypotheses. Our approach is variational and it is based on the nonsmooth critical point theory for locally Lipschitz functions.

Date: 2012
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https://doi.org/10.1155/2012/971243

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:971243

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