A note on asymptotic uniqueness for some nonlinearities which change sign
A note on asymptotic uniqueness for some nonlinearities which change sign
复制标题
关于某些改变符号的非线性的渐近唯一性的注释
DOI：
10.1017/s0004972700022309
复制
发表时间：
2000
影响因子：
0.7
通讯作者：
E. N. Dancer
中科院分区：
文献类型：
--
作者：
E. N. Dancer
在本文中，我们证明了某些二阶非线性椭圆方程在所有 Rn 上衰减正解的唯一性。这改进了许多作者的早期工作。这些问题出现在峰解理论中。特别是，我们的结果适用于作为总体问题中的限制方程出现的许多非光滑非线性。
In this paper, we prove the uniqueness of the decaying positive solution on all of Rn for certain second order non linear elliptic equations. This improves earlier work of a number of authors. These problems occur in the theory of peak solutions. In particular, our results apply to a number of non-smooth nonlinearities which occur as limiting equations in population problems.