Three solutions for inequalities Dirichlet problem driven by \(p(x)\)-Laplacian-like. (English) Zbl 1294.35022

Qing-Mei, Zhou; Bin, Ge

Abstr. Appl. Anal. 2013, Article ID 575328, 6 p. (2013).

Summary: A class of nonlinear elliptic problems driven by \(p(x)\)-Laplacian-like with a nonsmooth locally Lipschitz potential is considered. Applying the version of a nonsmooth three-critical-point theorem, existence of three solutions of the problem is proved.

MSC:

35J60

Nonlinear elliptic equations

Keywords:

nonlinear elliptic problems; \(p(x)\)-Laplacian-like

References:

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