节点文献
一类分数阶Schrdinger-Possion方程组的Pohozaev等式
The Pohozaev identity for fractional Schrdinger-Possion system
【摘要】 建立了一类分数阶Schrdinger-Possion方程组的Pohozaev等式,利用临界点理论的方法,把一类分数阶Schrdinger-Possion方程组问题转化为具有非线性Neumann边值条件的椭圆方程组的问题,从而改进了经典的半线性情形的相应结论.
【Abstract】 The Pohozaev type identity for the system of fractional Schrdinger-Possion type was studied. By the critical point theory,a kind of fractional Schrdinger-Possion equations problem was transformed to the problem of elliptic equations with nonlinear Neumann boundary conditions. The results improved the corresponding ones for the classical semilinear case.
【关键词】 Schrdinger-Possion方程组;
Pohozaev等式;
分数阶Laplace算子;
变分法;
【Key words】 Schrdinger-Possion system; Pohozaev identity; fractional Laplace; variational method;
【Key words】 Schrdinger-Possion system; Pohozaev identity; fractional Laplace; variational method;
【基金】 国家自然科学基金资助项目(11271331)
- 【文献出处】 浙江师范大学学报(自然科学版) ,Journal of Zhejiang Normal University(Natural Sciences) , 编辑部邮箱 ,2016年01期
- 【分类号】O175
- 【下载频次】87