R^n中的方程－△U＋U＝｜X｜~l｜U｜^（p－1）U的正解的唯一性

Uniqueness of Positive Solution of the Equation-△U+U=|X|￣l|U|￣(P-1)U in R￣n

通过讨论Ｒ~ｎ中的超线性椭圆边值问题的正解的唯一性，得出主要结果可归结如下：如果ｌ≤－２，ｐ＞１，则该问题的正解是唯一的．

This essay mainly discusses the problem -△U+U=|X|￣l|U|￣(p-1)U of the uniqueness of positive solution. The main result of the uniqueness of positive solution can besummed up as follows: if l≤ 2,p > 1, then, the positive solution of the problem is unique.