Uniqueness of Radial Solutions of Semilinear Elliptic Equations
Uniqueness of Radial Solutions of Semilinear Elliptic Equations
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DOI：
10.1090/s0002-9947-1992-1088021-x
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发表时间：
1992
影响因子：
1.3
通讯作者：
M. Kwong;Yi A. Li
中科院分区：
文献类型：
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作者：
M. Kwong;Yi A. Li
柳田最近证明了具有给定指数的经典Matukuma方程只有一个有限质量解。我们展示了如何利用类似的思想来获得其他类型的方程以及具有更一般系数的Matukuma方程的唯一性结果。一个具体的例子是Δu+u p±u=0，其中p>；1。该方法的关键成分是能量函数和适当的变换。我们还研究了一般边界条件，利用Bandle和Kuong最近的一个结果的推广
E. Yanagida recently proved that the classical Matukuma equation with a given exponent has only one finite mass solution. We show how similar ideas can be exploited to obtain uniqueness results for other classes of equations as well as Matukuma equations with more general coefficients. One particular example covered is Δu+u p ± u = 0, with p > 1. The key ingredients of the method are energy functions and suitable transformations. We also study general boundary conditions, using an extension of a recent result by Bandle and Kwong