Asymptotics of solutions of some nonlinear elliptic systems
Asymptotics of solutions of some nonlinear elliptic systems
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DOI：
10.1080/03605309608821217
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发表时间：
1996-12
影响因子：
1.9
通讯作者：
Bidaut-Véron Marie-Francoise;Raoux Thierry
中科院分区：
文献类型：
--
作者：
Bidaut-Véron Marie-Francoise;Raoux Thierry
本文讨论了半线性椭圆系统的正解的局部和全局行为，其中 和 我们的主要结果是解满足哈纳克不等式，当 时，它给出了局部估计。如果没有对 Q 的这种假设，只要这些估计是正确的，我们就会给出解的精确行为。当解是渐近readial时，但u和v之间可能会出现对称括号，其中u/v趋于0或无穷大。除了解决方案之外，还可以呈现各向异性行为。
This paper deals with the local and global behaviour of the postive solutions of the semilinear elliptic system in where and Our main result is the fact that the solutions satisfy Harnack inequality when , which gives local estimates. Without this assumption on Q, we give the precise behaviour of the solutions, provided that these estimates are true. when the solutions are asymptotically readial, but a symmetry bracking may occur between u and v, where u/v tends to 0 or infinity. Beyond the solutions can also present an anisotropic behaviour.