Abstract

A finite number of interior points is removed from an open bounded simply connected domain with smooth boundary in a multidimensional space. In the resulting domain, we consider correctly solvable boundary value problems for a second-order elliptic operator with variable coefficients. The domain of such problems may contain functions that have a singularity of the type of the fundamental solution and its partial derivatives.

中文翻译：

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点相互作用的二阶椭圆算子及其解的正确定义

摘要

从多维空间中具有光滑边界的开放边界简单连接域中删除有限数量的内部点。在结果域中，我们考虑具有可变系数的二阶椭圆算子的可解边界值问题。这些问题的领域可能包含具有基本解及其偏导数类型的奇异性的函数。