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arXiv · 2001.06726

Removable sets in elliptic equations with Musielak-Orlicz growth

Iwona Chlebicka·Arttu Karppinen
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Abstract

We characterize, in the terms of intrinsic Hausdorff measures, the size of~removable sets for H\"older 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.

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Iwona Chlebicka, Arttu Karppinen. 2020-01-18. Removable sets in elliptic equations with Musielak-Orlicz growth. https://arxiv.org/abs/2001.06726

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