Singularly perturbed elliptic systems and multi-valued harmonic functions with free boundaries
Singularly perturbed elliptic systems and multi-valued harmonic functions with free boundaries
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DOI：
10.1090/s0894-0347-08-00593-6
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发表时间：
2008-09
影响因子：
3.9
通讯作者：
L. Caffarelli;F. Lin
中科院分区：
文献类型：
--
作者：
L. Caffarelli;F. Lin
本文研究一类奇摄动椭圆型方程组解的渐近极限。极限问题涉及多值调和函数，或一般来说，调和映射到奇异空间和自由接口之间的支持的各种组件的地图。本文的主要结果是解的一致Lipschitz正则性和自由界面的正则性。
Here we study the asymptotic limits of solutions of some singularly perturbed elliptic systems. The limiting problems involve multiple valued harmonic functions or, in general, harmonic maps to singular spaces and free interfaces between supports of various components of the maps. The main results of the paper are the uniform Lipschitz regularity of solutions as well as the regularity of free interfaces.