摘要
研究R^N中一类Schrodinger-Possion方程约束极小解的存在性与非存在性.通过对该方程非线性项部分所含参数p的分类讨论,利用极小化序列方法,Ekeland’s变分原理,消失引理,Pohozaev’s恒等式,Gagliardo-Nirenberg不等式,Hardy-Littewood-Sobolev不等式等变分工具,最终证明了相应的结论.
In this paper,we concerned with the existence and the nonexistence of constrained minimizers for a class of Schrodinger-Possion Equations.By means of the categorized discussion for parameter p in the nonlinearity of the equation,the corresponding conclusion was proved by using minimizing sequence method,Ekeland variational principle,Vanishing Lemma,the Gagliardo-Nirenberg identity,the Haxdy-Littewood-Sobolev inequality and the Pohozaev identity in the variational methods.
作者
周晓敏
王淑丽
郭祖记
ZHOU Xiao-min;WANG Shu-li;GUO Zu-ji(College of Mathematics,Taiyuan University of Technology,Taiyuan 030024,China)
出处
《数学的实践与认识》
北大核心
2019年第21期243-250,共8页
Mathematics in Practice and Theory
基金
国家自然科学青年基金(11601363)
山西省自然科学基金(201601D102001)
