论文标题

关于一种非局部P-Laplacian操作员的G-Convergence的基本说明

An elementary note about the G-convergence for a type of nonlocal p-laplacian operator

论文作者

Muñoz, Julio

论文摘要

对相应的非本地运算符的最低能量原理和单调性的特性的简单应用,可以直接证明弱意义上的G-cormactness,也可以在强大的意义上进行。事实证明,弱或强度的H-连接和G连接的定义是等效的。

Simple applications of a principle of minimum energy and the property of monotonicity for the corresponding non-local operator, have allowed a direct proof of the G-compactness in a weak sense, as well as in the strong sense. The definitions of H-convergence and G-convergence, weak or strong, have been proved to be equivalent.

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