论文标题
在具有局部缺陷的周期性环境中,p-拉普拉斯方程的均质化
Homogenization of the p--Laplace equation in a periodic setting with a local defect
论文作者
论文摘要
在本文中,我们考虑了p-拉普拉斯方程的均质化,并具有周期性系数,该系数受到局部缺陷的扰动。在线性设置p = 2中的[6,7]中引入了此设置。我们在p> 2的情况下,在周期性校正器非变性的假设下,在p> 2的情况下,我们将收敛结果得出。
In this paper, we consider the homogenization of the p--Laplace equation with a periodic coefficient that is perturbed by a local defect. This setting has been introduced in [6, 7] in the linear setting p = 2. We construct the correctors and we derive convergence results to the homogenized solution in the case p > 2 under the assumption that the periodic correctors are non degenerate.