数学物理学报(英文版) ›› 2004, Vol. 24 ›› Issue (3): 493-498.

• 论文 • 上一篇    下一篇

BIFURCATION RESULTS FOR A SEMILINEAR
SCHR¨|ODINGER EQUATION WITH INDEFINITE
LINEAR PART 1

张正杰,卢伟明   

  1. Laboratory of Nonlinear Analysis, Department of Mathematics, Central China Normal University,
    Wuhan 430079, China,Institute of Chemical Technology, Zhengzhou Institute of Technology, Zhengzhou 450052, China
  • 出版日期:2004-07-20 发布日期:2004-07-20
  • 基金资助:

    Received November 22, 2002; revised August 1, 2003. The work is financial supported in part by S.I.S.S.A.
    postdoctoral fellowship, Italy and supported by NSFC

BIFURCATION RESULTS FOR A SEMILINEAR
SCHR¨|ODINGER EQUATION WITH INDEFINITE
LINEAR PART 1

 ZHANG Zheng-Jie, LEI Wei-Meng   

  • Online:2004-07-20 Published:2004-07-20
  • Supported by:

    Received November 22, 2002; revised August 1, 2003. The work is financial supported in part by S.I.S.S.A.
    postdoctoral fellowship, Italy and supported by NSFC

摘要:

This paper studies the following semilinear Schr¨odinger problem
−u + v(x)u = u − g(x)|u|p−1
u, x 2 RN.
It is proven that there exists a bifurcation branch of solutions for the above problem, when
g(x) can possibly vanish except for a bounded domain
  RN.

Abstract:

This paper studies the following semilinear Schr¨odinger problem
−u + v(x)u = u − g(x)|u|p−1
u, x 2 RN.
It is proven that there exists a bifurcation branch of solutions for the above problem, when
g(x) can possibly vanish except for a bounded domain
  RN.

Key words:  Schr¨odinger equation;branch of solutions, bifurcation

中图分类号: 

  • 35J60