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EXISTENCE OF SOLUTIONS FOR NON-PERIODIC SUPERLINEAR SCHRODINGER EQUATIONS WITHOUT （AR） CONDITION

引用本文：	万莉莉,唐春雷.EXISTENCE OF SOLUTIONS FOR NON-PERIODIC SUPERLINEAR SCHRODINGER EQUATIONS WITHOUT （AR） CONDITION[J].数学物理学报(B辑英文版),2012(4):1559-1570.

作者姓名：	万莉莉唐春雷

作者单位：	[1]School of Mathematics and Statistics, Southwest University, Chongqing 400715, China [2]School of Science, Southwest University of Science and Technology, Mianyang 621010, China

基金项目：	Supported by National Natural Science Foundation of China （11071198） and Doctor Research Foundation of Southwest University of Science and Technology （11zxT130）, the Key Project in Science and Technology Research Plan of the Education Department of Hubei Province （D20112605）.

摘要：	The existence of solutions is obtained for a class of the non-periodic Schrdinger equation -Δu + V (x)u = f (x, u), x ∈ R N , by the generalized mountain pass theorem, where V is large at infinity and f is superlinear as \|u\| →∞.
关键词：	Schrdinger equation superlinear generalized mountain pass theorem
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