| Three solutions to inequalities of Dirichlet problem driven by p（x）-Laplacian |
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| 引用本文： | 葛斌,薛小平,郭梦舒. Three solutions to inequalities of Dirichlet problem driven by p（x）-Laplacian[J]. 应用数学和力学(英文版), 2010, 31(10): 1283-1292. DOI: 10.1007/s10483-010-1361-9 |
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| 作者姓名： | 葛斌 薛小平 郭梦舒 |
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| 作者单位： | Bin GE(Department of Mathematics, Harbin Engineering University,Harbin 150001, P. R. China);Xiao-ping XUE,Meng-shu GUO(Department of Mathematics, Harbin Institute of Technology,Harbin 150001, P. R. China) |
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| 基金项目： | supported by the National Natural Science Foundation of China（Nos.10971043 and 11001063）; the Natural Science Foundation of Heilongjiang Province of China（No.A200803） |
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| 摘 要： | 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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| 关 键 词： | Dirichlet问题 Laplace算子 Laplacian Lipschitz 非线性椭圆问题 驱动 解法 非光滑 |
| 收稿时间： | 2009-12-03 |
Three solutions to inequalities of Dirichlet problem driven by p(x)-Laplacian |
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| Bin Ge,Xiao-ping Xue,Meng-shu Guo. Three solutions to inequalities of Dirichlet problem driven by p(x)-Laplacian[J]. Applied Mathematics and Mechanics(English Edition), 2010, 31(10): 1283-1292. DOI: 10.1007/s10483-010-1361-9 |
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| Authors: | Bin Ge Xiao-ping Xue Meng-shu Guo |
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| Affiliation: | 1. Department of Mathematics, Harbin Engineering University,Harbin 150001, P. R. China
2. Department of Mathematics, Harbin Institute of Technology,Harbin 150001, P. R. China |
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| Abstract: | A class of nonlinear elliptic problems driven by p(x)-Laplacian with a non-smooth locally Lipschitz potential is considered. By applying the version of the non-smooth three-critical-point theorem, the existence of three solutions to the problems is proved. |
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| Keywords: | p(x)-Laplacian differential inclusion problem three-critical-point theorem |
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