期刊文献+

一类椭圆型方程组非平凡解的存在性讨论 被引量:1

A study of the existence of nontrivial solutions to a class of elliptic system
下载PDF
导出
摘要 讨论了一类可变分的椭圆型方程组 ,通过构造特殊的环绕定理得出此类方程组至少有 3个非平凡解 . The solutions to a class of elliptic systems with variational structure are considered in this paper,and the existence of three nontrivial solutions to the class of elliptic systems can be obtained by constructing special linking theorem.
作者 周吴杰
机构地区 东南大学数学系
出处 《兰州大学学报(自然科学版)》 CAS CSCD 北大核心 2003年第5期6-10,共5页 Journal of Lanzhou University(Natural Sciences)
关键词 椭圆型方程组 临界点 环绕 变分结构 nonlinear elliptic system critical point linking
  • 相关文献

参考文献7

  • 1Costa D G,Magalhaesquad C A. A varivational approach to subquadratic perturbations of elliptic systems[J]. J Diff Eq,1994,111:103-122.
  • 2Yuan Lou. Necessary and sufficient conditions for the existence systems [J]. Nonl Anal TMA, 1996,26 (6): 1079-1095.
  • 3Zuluaga M A. Nonlinear elliptic system at resonance dynamic systems and applications[J]. 1994,3 (4): 501-510.
  • 4Schechter M. Nonlinear elliptic boundary value problems at resonance [J]. Nonlinear Analysis, 1990,14 (10):889-903.
  • 5Mario Zuluagaquad. Nonzero solutions of a nonlinear elliptic systemat resonance[J]. Nonl Anal TMA,1998,31(314):445-454.
  • 6Zhao Peihao,Zhou Wujie,Zhong Chengkui. The existence of three nontrivial solutions of a class of ellipitic systems[J]. Nonlinear Analysis, 2002,49 (3) : 431-443.
  • 7Ladde G S,Lakshmikantham V ,Vatsalequad A S. Existence of coupled quasi-solutions of systems of nonlinear elliptic boundary value problems[J]. Nonl Anal TMA, 1984,8(5) : 501-515.

同被引文献13

引证文献1

二级引证文献1

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部