| Existence and Asymptotic Behavior of Ground State Solutions for Quasilinear Schr?dinger Equations with Unbounded Potential |
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| 作者姓名： | Yanfang XUE |
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| 作者单位： | 1. School of Mathematics and Statistics, Xinyang Normal University;2. School of History, Culture and Ethnology, Southwest University;3. School of Mathematics and Statistics, Southwest University |
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| 基金项目： | supported by the National Natural Science Foundation of China (Nos. 11971393,11901499, 11801465)； |
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| 摘 要： | The authors study the existence of standing wave solutions for the quasilinear Schr?dinger equation with the critical exponent and singular coefficients. By applying the mountain pass theorem and the concentration compactness principle, they get a ground state solution. Moreover, the asymptotic behavior of the ground state solution is also obtained.
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| 关 键 词： | Quasilinear Schr¨odinger equation Ground state Critical Hardy-Sobolev exponents Coercive |
| 收稿时间： | 2021-09-28 |
| 修稿时间： | 2022-09-29 |
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