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一类具有非光滑位势p（x）-Kirchhoff型问题多解性
  • ISSN号：1003-3998
  • 期刊名称：《数学物理学报：A辑》
  • 时间：0
  • 分类：O175.2[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, [3]东北林业大学图书馆,哈尔滨150040
  • 相关基金：国家自然科学基金（10971043,11001063）、中国博士后基金（20110491032）、中央高校基本科研业务费专项资金（HEUCF20111134）、黑龙江省杰出青年基金（JC200810）和黑龙江省自然科学基金（A200803）资助
作者： 葛斌, 薛小平[2], 周庆梅[3]
关键词： p(x)-Kirchhoff型, 变分方法, DIRICHLET问题, 微分包含问题, p（x）-Kirchhoff-type, Variational method, Dirichlet problem, Differential inclusionproblem.
中文摘要：

该文研究了一类具有非光滑位势的p（x）-Kirchhoff型Dirichlet边值微分包含问题．利用Weierstrass定理和非光滑山路定理证明了该问题的正负能量的两个解的存在性．

英文摘要：

In this paper the authors consider the differential inclusion problem involving the p（x）-Kirchhoff-type. Using Weierstrass Theorem and Mountain Pass Theorem, they obtain the existence of at least two nontrivial solutions of the problem in W10p（x） （Ω）.

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期刊信息
  • 《数学物理学报：A辑》
  • 北大核心期刊（2011版）
  • 主管单位:中国科学院
  • 主办单位:中国科学院武汉物理与数学研究所
  • 主编：李邦河 陈贵强 朱熹平
  • 地址：湖北省武汉市武昌小洪山西路30号武汉71010信箱
  • 邮编：430071
  • 邮箱：actams@wipm.ac.cn
  • 电话：027-87199206
  • 国际标准刊号：ISSN：1003-3998
  • 国内统一刊号：ISSN：42-1226/O
  • 邮发代号:38-214
  • 获奖情况:
  • 国内外数据库收录:
  • 俄罗斯文摘杂志,美国数学评论（网络版）,德国数学文摘,日本日本科学技术振兴机构数据库,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:5382