We extend some previously known results to the case of weighted sum operators. We prove that local weak solutions of elliptic equations with very strong degeneracy are smooth.

中文翻译：

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强退化椭圆方程和加权和算子的局部正则性

我们将一些先前已知的结果扩展到加权和运算符的情况。我们证明具有极强退化的椭圆型方程的局部弱解是平滑的。