由p(x)Laplace算子导出的不等式Dirichlet问题的三解

葛斌; 薛小平; 郭梦舒

doi:10.3879/j.issn.1000-0887.2010.10.009

由p(x)Laplace算子导出的不等式Dirichlet问题的三解

doi: 10.3879/j.issn.1000-0887.2010.10.009

哈尔滨工程大学数学系,哈尔滨 150001;

基金项目: 国家自然科学基金资助项目(10971043;11001063);黑龙江省杰出青年基金资助项目(A200803)

详细信息

作者简介:
葛斌(1979- ),男,黑龙江人,讲师,博士(联系人.Tel:+86-451-55693902;E-mail:ge-bin791025@hrbeu.edu.cn);薛小平(1963- ),男,黑龙江人,教授,博士,博士生导师(E-mail:xiaopingxue@263.net);郭梦舒(1972- ),男,黑龙江人,副教授,博士(E-mail:msguo@hit.edu.cn).

中图分类号: O175
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出版历程
- 收稿日期: 1900-01-01
- 修回日期: 2010-08-23
- 刊出日期: 2010-10-15

Three Solutions for Inequalities Dirichlet Problem Driven by p(x)-Laplacian

Department of Mathematics, Harbin Engineering University, Harbin 150001, P. R. China;
Department of Mathematics, Harbin Institute of Technology, Harbin 150001, P. R. China

摘要

摘要: 讨论了一类具有非光滑位势的p(x)-Laplace非线性椭圆问题．利用非光滑的三临界点定理证明了该问题在变指数Sobolev空间W1,p(x)0(Ω)中至少存在3个非平凡解．
- p(x)-Laplician /
- 微分包含问题 /
- 三临界点定理
Abstract: A class of nonlinear elliptic proplem driven by p(x)-Laplacian with a nonsmooth locally Lipschitz potential was considered.Applying the version of non-smooth three-critical-point theorem, existence of three solutions of the problem in W₀^{1, p(x)}(Ω)was proved.
- p(x)-Laplician /
- differential inclusion problem /
- three-critical-point theorem

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参考文献(12)

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