Acta mathematica scientia, Series B >
NONTRIVIAL SOLUTIONS FOR SCHRÖDINGER EQUATIONS
Received date: 2006-10-19
Revised date: 2007-08-24
Online published: 2009-09-20
Supported by
This work was supported by the NSFC (10571175 and 10631030)
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
LIU Fang , YANG Jian-Fu . NONTRIVIAL SOLUTIONS FOR SCHRÖDINGER EQUATIONS[J]. Acta mathematica scientia, Series B, 2009 , 29(5) : 1405 -1420 . DOI: 10.1016/S0252-9602(09)60113-2
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