Acta mathematica scientia,Series B ›› 2009, Vol. 29 ›› Issue (5): 1405-1420.doi: 10.1016/S0252-9602(09)60113-2

• Articles • Previous Articles     Next Articles

NONTRIVIAL SOLUTIONS FOR  SCHRÖDINGER EQUATIONS

 LIU Fang, YANG Jian-Fu   

  1. The School of Pharmacology, Beijing University of Chinese Medicine, Beijing 100029, China |Department of Mathematics, Jiangxi Normal University, Nanchang 33022, China
  • Received:2006-10-19 Revised:2007-08-24 Online:2009-09-20 Published:2009-09-20
  • Supported by:

    This work was supported by the NSFC (10571175 and 10631030)

Abstract:

The authors prove the existence of nontrivial solutions for the Schrödinger equation -Δu + V(x) u = λ f(x, u) in RN, where f is superlinear, subcritical and critical at infinity, respectively, V is periodic.

Key words: Schrödinger equation, the relative Morse index, minimax method

CLC Number: 

  • 35J20
Trendmd