We consider the boundary value problem associated with the divergence operator on a bounded regular subset of \({\mathbb {R}}^{n}\), with homogeneous Dirichlet boundary condition. We prove the existence of a classical solution under slight assumptions on the datum.

中文翻译：

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Dini连续数据的发散方程的经典解

我们考虑具有齐次Dirichlet边界条件的\（{\ mathbb {R}} ^ {n} \）的有界正则子集上与散度算子相关的边值问题。我们在对基准进行一些假设的情况下证明了经典解的存在。