| POSITIVE SOLUTIONS WITH HIGH ENERGY FOR FRACTIONAL SCHR¨ODINGER EQUATIONS |
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| 引用本文： | 郭青,赵雷嘎.POSITIVE SOLUTIONS WITH HIGH ENERGY FOR FRACTIONAL SCHR¨ODINGER EQUATIONS[J].数学物理学报(B辑英文版),2023(3):1116-1130. |
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| 作者姓名： | 郭青 赵雷嘎 |
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| 作者单位： | 1. College of Science, Minzu University of China;2. School of Mathematics and Statistics, Beijing Technology and Business University |
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| 基金项目： | supported by the NNSF of China(12171014, 12271539, 12171326)； |
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| 摘 要： | In this paper, we study the Schr?dinger equations (-?)su + V(x)u = a(x)|u|p-2u + b(x)|u|q-2u, x∈RN,where 0 < s < 1, 2 < q < p < 2s*, 2s* is the fractional Sobolev critical exponent. Under suitable assumptions on V, a and b for which there may be no ground state solution, the existence of positive solutions are obtained via variational methods.
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