数学物理学报(英文版) ›› 1989, Vol. 9 ›› Issue (1): 83-92.

• 论文 • 上一篇    下一篇

NONTRIVIAL SOLUTIONS OF SEMILINEAR ELLIPTIC EQUATIONS ON UNBOUNDED DOMAIN

顾永耕   

  1. Inst. of Sys. Sci., Academia Sinica, Beijing, China
  • 收稿日期:1986-08-06 出版日期:1989-03-25 发布日期:1989-03-25

NONTRIVIAL SOLUTIONS OF SEMILINEAR ELLIPTIC EQUATIONS ON UNBOUNDED DOMAIN

Gu Yonggeng   

  1. Inst. of Sys. Sci., Academia Sinica, Beijing, China
  • Received:1986-08-06 Online:1989-03-25 Published:1989-03-25

摘要: This paper is concerned with the existence of nontrivial solutions of the semilinear elliptio equations on unbounded domain Ω in RN, N ≥ 2. These results extend Rose of[11],[13] and[16]. The main tool is variational methods in this paper.

Abstract: This paper is concerned with the existence of nontrivial solutions of the semilinear elliptio equations on unbounded domain Ω in RN, N ≥ 2. These results extend Rose of[11],[13] and[16]. The main tool is variational methods in this paper.