| 一类拟线性薛定谔方程的正解 |
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| 引用本文： | 汪继秀.一类拟线性薛定谔方程的正解[J].襄樊学院学报,2014(2):5-7,19. |
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| 作者姓名： | 汪继秀 |
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| 作者单位： | 湖北文理学院数学与计算机科学学院; |
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| 基金项目： | 湖北省教育厅科研计划项目(Q20122504) |
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| 摘 要： | 考虑一类拟线性薛定谔方程的正解,由于该类方程所对应泛函不能定义在常用空间H1（RN）上并且嵌入是非紧的,这也导致了很难直接求解.因此利用变量变换在H1（RN）的径向空间上考虑方程的解,从而可以利用山路引理和极值原理证明所研究方程存在正解.
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| 关 键 词： | 拟线性薛定谔方程 正解 山路引理 |
The Positive Solutions for Subcritical Generalized Quasilinear Schrdinger Equations |
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| WANG Jixiu.The Positive Solutions for Subcritical Generalized Quasilinear Schrdinger Equations[J].Journal of Xiangfan University,2014(2):5-7,19. |
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| Authors: | WANG Jixiu |
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| Institution: | WANG Jixiu (School of Mathematical and Computer Sciences, Hubei University of Arts and Science, Xiangyang 441053, China) |
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| Abstract: | In this paper, we consider some quasilinear Schdinger equations. The functional for the equations does not define in the space H1（RN） and the embedding is not compact. To overcome this difficulty, we make a variable replacement and study the solution for the equations in the radial of H1（RN）, therefore, we obtain the positive solution by mountain pass lemma and maximum principle. |
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| Keywords: | Quasilinear equations Positive solutions Mountain pass lemma |
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