Acta mathematica scientia, Series B >
EXISTENCE OF SOLUTIONS FOR NON-PERIODIC SUPERLINEAR SCHRÖDINGER EQUATIONS WITHOUT (AR) CONDITION
Received date: 2010-06-07
Revised date: 2011-07-05
Online published: 2012-07-20
Supported by
Supported by National Natural Science Foundation of China (11071198) and Doctor Research Foundation of Southwest University of Science and Technology (11zx7130), the Key Project in Science and Technology Research Plan of the Education Department of Hubei Province (D20112605).
The existence of solutions is obtained for a class of the non-periodic Schr¨odinger equation −Δu + V (x)u = f(x, u), x ∈ RN, by the generalized mountain pass theorem, where V is large at infinity and f is superlinear as |u| →∞.
WAN Li-Li , TANG Chun-Lei . EXISTENCE OF SOLUTIONS FOR NON-PERIODIC SUPERLINEAR SCHRÖDINGER EQUATIONS WITHOUT (AR) CONDITION[J]. Acta mathematica scientia, Series B, 2012 , 32(4) : 1559 -1570 . DOI: 10.1016/S0252-9602(12)60123-4
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