数学物理学报(英文版) ›› 2000, Vol. 20 ›› Issue (2): 181-188.

• 论文 • 上一篇    下一篇

ON SEMILINEAR ELLIPTIC EQUATIONS WITH CONCAVE AND CONVEX NONLINEARITIES IN RN

杨海涛, 陈祖墀   

  1. Department of Mathematics, Zhejiang University, Hangzhou 310027, China Department of Mathematics, University of Science and Technology of China, Hefei 230026, China
  • 出版日期:2000-04-18 发布日期:2000-04-18
  • 基金资助:

    This research is supported by the Cao Guangbiao Foundation of Zhejiang University

ON SEMILINEAR ELLIPTIC EQUATIONS WITH CONCAVE AND CONVEX NONLINEARITIES IN RN

 YANG Hai-Tao, CHEN Zu-Chi   

  1. Department of Mathematics, Zhejiang University, Hangzhou 310027, China Department of Mathematics, University of Science and Technology of China, Hefei 230026, China
  • Online:2000-04-18 Published:2000-04-18
  • Supported by:

    This research is supported by the Cao Guangbiao Foundation of Zhejiang University

摘要:

In this paper, a class of semilinear elliptic equations with sublinear and superlinear nonlinearities in RN is studied. By making use of variational method and L1 estimation, the authors obtain some results about existence of multiple positive solutions and asymptotic behavior of the solutions.

关键词: Concave, convex, critical point, asymptotic behavior

Abstract:

In this paper, a class of semilinear elliptic equations with sublinear and superlinear nonlinearities in RN is studied. By making use of variational method and L1 estimation, the authors obtain some results about existence of multiple positive solutions and asymptotic behavior of the solutions.

Key words: Concave, convex, critical point, asymptotic behavior

中图分类号: 

  • 35J05