论文标题

可移动的奇异性,用于涉及加权可变指数Sobolev空间的椭圆方程的子溶液

Removable singularities for sub-solutions of elliptic equations involving weighted variable exponent Sobolev spaces

论文作者

Apaza, Juan Pablo Alcon

论文摘要

我们研究了涉及重量函数和可变指数的椭圆方程的单数集合的可移动性。我们考虑以下情况下,奇异集满足了与上minkowski含量或净度量的某些概括相关的条件,并且为在加权变量指数Sobolev空间中方程的可移动性提供了足够的条件。

We study the removability of a singular set for elliptic equations involving weight functions and variable exponents. We consider the case where the singular set satisfies conditions related to some generalization of upper Minkowski content or a net measure, and give sufficient conditions for removability of this singularity for equations in the weighted variable exponent Sobolev spaces.

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