数学物理学报(英文版) ›› 1990, Vol. 10 ›› Issue (4): 383-395.

• 论文 • 上一篇    下一篇

THE CONCENTRATION-COMPACTNESS PRINCIPLE AND INVERSE POWER METHOD

丁夏畦, 丁毅   

  1. Inst. of Math. Sci., Academia Sinica, Wuhan, China
  • 收稿日期:1990-03-22 出版日期:1990-12-25 发布日期:1990-12-25

THE CONCENTRATION-COMPACTNESS PRINCIPLE AND INVERSE POWER METHOD

Ding Xiaxi, Ding Yi   

  1. Inst. of Math. Sci., Academia Sinica, Wuhan, China
  • Received:1990-03-22 Online:1990-12-25 Published:1990-12-25

摘要: In this paper, we are concerned with the eigenvalue problem of a semilinear elliptic equation. We use concentration-compactness principle and inverse power method to find some conditions in order that the non-radial solutions may exist for an equation with variable coefficients.

Abstract: In this paper, we are concerned with the eigenvalue problem of a semilinear elliptic equation. We use concentration-compactness principle and inverse power method to find some conditions in order that the non-radial solutions may exist for an equation with variable coefficients.