Abstract
A class of nonlinear elliptic problems driven by p(x)-Laplacian with a nonsmooth locally Lipschitz potential is considered. By applying the version of the nonsmooth three-critical-point theorem, the existence of three solutions to the problems is proved.
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Communicated by Xing-ming GUO
Project supported by the National Natural Science Foundation of China (Nos. 10971043 and 11001063) and the Natural Science Foundation of Heilongjiang Province of China (No. A200803)
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Ge, B., Xue, Xp. & Guo, Ms. Three solutions to inequalities of Dirichlet problem driven by p(x)-Laplacian. Appl. Math. Mech.-Engl. Ed. 31, 1283–1292 (2010). https://doi.org/10.1007/s10483-010-1361-9
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DOI: https://doi.org/10.1007/s10483-010-1361-9