几类带有不定位势的薛定谔-泊松系统非平凡解的存在性及多重性研究.pdf

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摘要···················································································I

Abstract·················································································II

1绪论·······················································································1

1.1研究背景·······································································1

1.2研究现状·······································································2

1.3预备知识·······································································4

1.4符号说明·······································································6

2一类带有不定位势的薛定谔-泊松系统多重解的存在性············7

2.1简介和主要结论·····························································7

2.2准备工作·······································································9

2.3主要结果的证明·····························································10

3一类带有不定位势的薛定谔-泊松系统及基尔霍夫方程的无穷

多解的存在性············································································16

3.1简介及主要结论·····························································16

3.2准备工作·······································································19

3.3主要结果的证明·····························································20

总结与展望···············································································26

参考文献···················································································27

致谢···················································································31

硕士学位期间主要研究成果···············································

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