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由p（x）-Laplace算子导出的不等式Dirichlet问题的三解
  • ISSN号：1000-0887
  • 期刊名称：《应用数学和力学》
  • 时间：0
  • 分类：O175[理学—数学;理学—基础数学]
  • 作者机构：[1]哈尔滨工程大学数学系,哈尔滨150001, [2]哈尔滨工业大学数学系,哈尔滨150001
  • 相关基金：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）
作者： 葛斌, 薛小平[2], 郭梦舒[2]
关键词： p(x)-Laplician, 微分包含问题, 三临界点定理, p（x）-Laplician, differential inclusion problem, three-critical-point theorem
中文摘要：

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W01,p（x）（Ω）中至少存在3个非平凡解.

英文摘要：

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 W01,P（x） （Ω） was proved.

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期刊信息
  • 《应用数学和力学》
  • 中国科技核心期刊
  • 主管单位:重庆交通大学
  • 主办单位:重庆交通大学
  • 主编：钟万勰
  • 地址：重庆南岸区重庆交通大学90信箱
  • 邮编：400074
  • 邮箱：applmathmech@cqjtu.edu.cn
  • 电话：023-62652450
  • 国际标准刊号：ISSN：1000-0887
  • 国内统一刊号：ISSN：50-1060/O3
  • 邮发代号:78-21
  • 获奖情况:
  • 国际工程索引（EI）收录期刊,我国力学类核心期刊,中国期刊方阵“双效”期刊
  • 国内外数据库收录:
  • 俄罗斯文摘杂志,美国数学评论（网络版）,日本日本科学技术振兴机构数据库,美国应用力学评论,中国中国科技核心期刊,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）,中国北大核心期刊（2000版）
  • 被引量:8965