| 薛定谔方程及薛定谔-麦克斯韦方程的多解 |
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| 引用本文： | 毛安民,李安然. 薛定谔方程及薛定谔-麦克斯韦方程的多解[J]. 数学学报, 2012, 0(3): 425-436 |
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| 作者姓名： | 毛安民 李安然 |
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| 作者单位： | 曲阜师范大学数学科学学院;首都师范大学数学系 |
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| 基金项目： | 国家自然科学基金资助项目(10801088);山东省自然科学青年基金项目(Q2007A02) |
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| 摘 要： | 不作周期性和对称性的假设,也没有Ambrosetti-Rabinowitz增长控制条件,我们得到了一类超线性薛定谔方程在全空间中无穷多解的存在性结果.同时,得到了一类超线性薛定谔-麦克斯韦方程无穷多解的存在性结果.
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| 关 键 词： | 薛定谔方程 薛定谔-麦克斯韦方程 喷泉定理 |
Multiplicity of Solutions for a Non-periodic Schrodinger Equation and a Superlinear Schrodinger-Maxwell Equation |
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| An Min MAO School of Mathematical Sciences,Qufu Normal University,Qufu,P.R.China An Ran LI. Multiplicity of Solutions for a Non-periodic Schrodinger Equation and a Superlinear Schrodinger-Maxwell Equation[J]. Acta Mathematica Sinica, 2012, 0(3): 425-436 |
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| Authors: | An Min MAO School of Mathematical Sciences Qufu Normal University Qufu P.R.China An Ran LI |
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| Affiliation: | Department of Mathematics,Capital Normal University,Beijing 100048,P.R.China |
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| Abstract: | Without the periodity and symmetricity,we present new results on the existence of infinitely solutions for some nonlinear superlinear Schrodinger equation in the entire space without Ambrosetti-Rabinowitz growth condition.Also,we get the existence of infinitely many large energy solutions for some superlinear SchrodingerMaxwell equations. |
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| Keywords: | Schrodinger equation Schr(o|¨)dinger-Maxwell equation fountain theorem |
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