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Removable sets in elliptic equations with Musielak-Orlicz growth
Journal of Mathematical Analysis and Applications ( IF 1.3 ) Pub Date : 2020-03-01 , DOI: 10.1016/j.jmaa.2020.124073
Iwona Chlebicka , Arttu Karppinen

We characterize, in the terms of intrinsic Hausdorff measures, the size of~removable sets for Holder continuous solutions to elliptic equations with Musielak-Orlicz growth. In the general case we provide an elegant form of the measure that captures -- as special cases -- the classical results, slightly refines the ones provided for problems stated in the variable exponent and double phase spaces and essentially improves the known one in the Orlicz case.

中文翻译:

具有 Musielak-Orlicz 增长的椭圆方程中的可移动集

我们根据内在 Hausdorff 测度来表征具有 Musielak-Orlicz 增长的椭圆方程的 Holder 连续解的可移除集合的大小。在一般情况下,我们提供了一种优雅的度量形式,它捕获 - 作为特殊情况 - 经典结果,稍​​微改进了为变量指数和双相空间中陈述的问题提供的结果,并从本质上改进了 Orlicz 中的已知结果案件。
更新日期:2020-03-01
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