| 一类非齐次薛定谔-泊松系统解的存在唯一性 |
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| 引用本文： | 张金玲,熊丽华.一类非齐次薛定谔-泊松系统解的存在唯一性[J].襄樊学院学报,2013(5):5-7. |
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| 作者姓名： | 张金玲 熊丽华 |
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| 作者单位： | 湖北文理学院数学与计算机科学学院;辽宁轻工职业学院基础部 |
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| 摘 要： | 利用Poisson方程具有显式解，将所研究的一类有界区域上的非齐次薛定谔-泊松系统转化为单个Schrodinger方程问题，并采用变分法将单个Schrodinger方程问题转化为求解泛函极值问题，最后用变分方法中的极小定理证明该系统在ΩcR^3上的解是存在并且唯一的．
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| 关 键 词： | 非齐次薛定谔-泊松系统 极小定理 解的存在唯一性 |
Existence and Uniqueness of a Solution to a Class of Non-homogenous Schr o dinger-Poisson Systems |
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| ZHANG Jin-ling,XIONG Li-hua.Existence and Uniqueness of a Solution to a Class of Non-homogenous Schr o dinger-Poisson Systems[J].Journal of Xiangfan University,2013(5):5-7. |
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| Authors: | ZHANG Jin-ling XIONG Li-hua |
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| Institution: | 1.School of Mathematical and Computer Sciences,Hubei University of Arts and Science,Xiangyang 441053,China;2.Elementary Course Department,Liaoning Vocational College of Light Industry,Dalian 116100,China) |
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| Abstract: | In the paper, by application of the explicit solution to the Poisson equation, the systems investigated can be transformed into a single Schro dinger equation which can be transformed into solving the functional extremum by using the variational methods. Finally, existence and uniqueness of a solution for a class of non-homogenous Schr o dinger-Poisson systems in ΩcR^3 was obtained by using the minimum theorem of the variational methods. |
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| Keywords: | Non-homogenous Scho dinger-Poisson systems Minimum theorem Existence and uniqueness of a solution |
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