We study the existence, uniqueness, and optimal regularity of solutions to transmission problems for harmonic functions with \(C^{1,\alpha }\) interfaces. For this, we develop a novel geometric stability argument based on the mean value property.

中文翻译：

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$$ C ^ {1，\ alpha} $$ C 1，α接口传输问题的正则性

我们研究具有\（C ^ {1，\ alpha} \）接口的谐波函数的传输问题解的存在性，唯一性和最优规则性。为此，我们基于平均值属性开发了一种新颖的几何稳定性参数。