特殊区域中阿维莱斯 - 吉加泛函极小值的刻画
Characterization of Minimizers of Aviles-Giga Functionals in Special Domains.
作者信息
Marconi Elio
机构信息
EPFL B, Station 8, 1015 Lausanne, Switzerland.
出版信息
Arch Ration Mech Anal. 2021;242(2):1289-1316. doi: 10.1007/s00205-021-01704-w. Epub 2021 Aug 23.
Abstract
We consider the singularly perturbed problem on bounded domains . Under appropriate boundary conditions, we prove that if is an ellipse, then the minimizers of converge to the viscosity solution of the eikonal equation as .
摘要
我们考虑有界区域上的奇异摄动问题。在适当的边界条件下，我们证明，如果是一个椭圆，那么当趋于零时，的极小值点收敛到程函方程的粘性解。
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