含扰动项的Chern-Simons-Schr?dinger方程的多解

被引：0

作者：

元浩

翁立夫

周焕松

机构：

[1] 武汉理工大学数学科学研究中心

来源：

中国科学:数学 | 2023年 / 53卷 / 09期

关键词：

椭圆型偏微分方程; 临界点; 山路引理; Chern-Simons-Schr?dinger方程; Ekeland变分引理;

D O I：

暂无

中图分类号：

O175 [微分方程、积分方程];

学科分类号：

070104 ;

摘要：

本文研究二维空间R2上一类含有Chern-Simons型非局部项且具有p-1（2 2范数小于某个可显式给出的确定值时,本文对于任意的p∈（2,∞）建立这类方程解的存在性或非存在性,并且对于适当范围内的p还得到这类方程同时具有正能量解和负能量解.

引用

页码：1213 / 1226

页数：14

共 14 条

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