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<p>We establish Hölder 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 (Anal PDE 13(2):317-370, 2020).</p>

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Hölder and Harnack estimates for integro-differential operators with kernels of measure

  • 期刊论文

  • 发表日期：

    2025年1月24日

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  • Jingya Chen

摘要

We establish Hölder 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 (Anal PDE 13(2):317-370, 2020).