摘要
证明了一类非线性Schrdinger方程组正解的唯一性,而且利用唯一性,得到了向量值形式的Gagliardo-Nirenberg不等式,而该不等式中的最佳常数是通过极小化序列的方法得到的.
In this paper,we establish the uniqueness of positive solutions of some nonlinear systems.As an application of our uniqueness results,we derive a sharp vector-valued Gagliardo-Nirenberg inequality.And the best constant of the inequality is obtained by the minimizing sequences methods.
出处
《首都师范大学学报(自然科学版)》
2010年第2期1-3,共3页
Journal of Capital Normal University:Natural Science Edition