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带有非线性边界条件的非齐次拟线性椭圆型方程组的多解性
  • 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]南京师范大学数学科学学院,南京210023, [2]南京师范大学教师教育学院,南京210097
  • 相关基金：国家自然科学基金（11171092,11471164）和江苏省研究生科技创新计划项目（KYZZ_0209）资助
作者： 李琴[1], 杨作东[1,2]
关键词： 存在性, 多解性, 非齐次, 非线性边界条件, Existence, Multiplicity, Nonhomogeneous, Nonlinear boundary conditions
中文摘要：

主要研究一组带有非线性边界条件的非齐次拟线性椭圆型方程组非平凡解的存在性和多解性.利用山路引理和Ekeland变分准则,得到当λ属于特定区间时,此方程组至少存在两个非平凡解.

英文摘要：

In this paper,we study the existence and multiplicity of nontrivial solutions for a class of quasilinear elliptic systems involving nonhomogeneous nonlinearities and nonlinear boundary conditions.By using the Mountain Pass Theorem and the Ekeland＇s variational principle,we prove that the system has at least two nontrivial solutions when the parameter A belongs to a certain subset of R.

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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