数学物理学报 ›› 1997, Vol. 17 ›› Issue (4): 389-395.

• 论文 • 上一篇    下一篇

拟线性椭圆型方程组奇性解的 Pohozaev 恒等式与解不存在性

沈尧天   

  1. 华南理工大学应用数学系 广州 510641
  • 收稿日期:1995-08-25 修回日期:1996-06-07 出版日期:1997-08-26 发布日期:1997-08-26
  • 基金资助:
    国家自然科学基金;广东自然科学基金

Non-existence and the Pohozaev Identity for the Singular Solutions of Quasilinear elliptic systems

Shen Yaotian   

  1. Department of Applied Mathematics South China University of Technology, Guang Zhou 510641
  • Received:1995-08-25 Revised:1996-06-07 Online:1997-08-26 Published:1997-08-26

摘要: 该文分别研究了超临界指数和自然增长条件下拟线椭圆型方程组奇性解成立Pohozaev恒等式的一些充分条件.

关键词: 拟线性, 椭圆方程组, 奇性解, Pohozaev恒等式

Abstract: The Pohozaev identity is obtained for the singular solutions of the elliptic systems involving super-critical sobolev exponent and natural growth condition.

Key words: Quasilinear, Elliptic systems, Singular solution, Pohozaev identity