郭文艳,章国庆,刘三阳

• 1:上海理工大学理学院
• 2:西安电子科技大学数学和统计学院

摘要(Abstract)：

利用临界点理论中的亏格定理和Nehari流形技巧,本文证明了在二维全空间上一类带周期位势的薛定谔-泊松方程组高能量解的存在性,且该解存在无穷多个结点区域.更进一步,得到了其基态解的存在性且是不变号的.

关键词(KeyWords)： 平面薛定谔-泊松方程组;周期位势;结点解

Abstract:

Keywords:

基金项目(Foundation): 上海市自然科学基金(15ZR1429500);; 沪江基金(B14005);; 上海理工大学培育基金(15HJPYMS03)

作者(Author): 郭文艳,章国庆,刘三阳

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