论文标题
通过域扰动的非线性非自动传输问题的存在结果
Existence results for a nonlinear nonautonomus transmission problem via domain perturbation
论文作者
论文摘要
在本文中，我们研究了拉普拉斯方程的非线性非自主传递问题的域扰动的存在和分析依赖性。该问题的定义是在由穿孔域和包含的一组组中定义的，其形状由合适的差异性$ ϕ $确定。首先，我们分析包含是固定域的情况。然后，我们将扰动包容性并研究出现的边界值问题以及特定溶液家族对扰动参数$ ϕ $的依赖性。
In this paper we study the existence and the analytic dependence upon domain perturbation of the solutions of a nonlinear nonautonomous transmission problem for the Laplace equation. The problem is defined in a pair of sets consisting of a perforated domain and an inclusion whose shape is determined by a suitable diffeomorphism $ϕ$. First we analyse the case in which the inclusion is a fixed domain. Then we will perturb the inclusion and study the arising boundary value problem and the dependence of a specific family of solutions upon the perturbation parameter $ϕ$.
