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一类Schrdinger方程组正解的唯一性及应用

Uniqueness of Positive Solutions of Some Schrdinger Systems and Their Application
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摘要 证明了一类非线性Schrdinger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.
作者 常金勇
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
关键词 Schrdinger方程组 正解的唯一性 Gagliardo-Nirenberg不等式 Schrdinger systems uniqueness of positive solutions Gagliardo-Nirenberg inequality.
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参考文献7

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