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arXiv · 1508.06403

A Carleson type inequality for fully nonlinear elliptic equations with non-Lipschitz drift term

Benny Avelin·Vesa Julin
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Abstract

This paper concerns the boundary behavior of solutions of certain fully nonlinear equations with a general drift term. We elaborate on the non-homogeneous generalized Harnack inequality proved by the second author in (Julin, ARMA -15), to prove a generalized Carleson estimate. We also prove boundary H\"older continuity and a boundary Harnack type inequality.

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Benny Avelin, Vesa Julin. 2015-08-26. A Carleson type inequality for fully nonlinear elliptic equations with non-Lipschitz drift term. https://doi.org/10.1016/j.jfa.2016.12.026

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