Harnck inequalities and H\"older estimates for fully nonlinear integro-differential equations with weak scaling conditions

Shuhei Kitano

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arXiv · 2207.02617

Harnck inequalities and H\"older estimates for fully nonlinear integro-differential equations with weak scaling conditions

Shuhei Kitano

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Abstract

H\"older estimates and Harnack inequalities are studied for fully nonlinear integro-differential equations under some mild assumptions. We allow the kernels of variable order and critically close to 2.

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Shuhei Kitano. 2022-07-06. Harnck inequalities and H\"older estimates for fully nonlinear integro-differential equations with weak scaling conditions. https://arxiv.org/abs/2207.02617

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