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arXiv · 2409.20190

H\"older and Harnack estimates for integro-differential operators with kernels of measure

Jingya Chen
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Abstract

We establish H\"older and Harnack estimates for weak solutions of a class of elliptic nonlocal equations that are modeled on integro-differential operators with kernels of measure. The approach is of De Giorgi-type, as developed by DiBenedetto, Gianazza and Vespri in a local setting. Our results generalize the work by Dyda and Kassmann (2020).

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Jingya Chen. 2024-09-30. H\"older and Harnack estimates for integro-differential operators with kernels of measure. https://arxiv.org/abs/2409.20190

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