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Published version

Publication date

2021-07-05

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cc-by (c) Ros, Xavier et al., 2021
Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/184172

New boundary Harnack inequalities with right hand side

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https://doi.org/10.1016/j.jde.2021.04.012

Abstract

We prove new boundary Harnack inequalities in Lipschitz domai Our main result applies to non-divergence form operators with bc divergence form operators with continuous coefficients, whereas the approach is based on the scaling and comparison arguments of [13] are sharp. As a consequence of our results, we deduce the $\mathcal{C}^{1, \alpha}$ regularity of obstacle problem and the fully nonlinear thin obstacle problem.

Subject

Problemes de contorn, Equacions diferencials el·líptiques

Subject (English)

Boundary value problems, Elliptic differential equations

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Articles publicats en revistes (Matemàtiques i Informàtica)
Publicacions de projectes de recerca finançats per la UE

Citation

ROS, Xavier and TORRES LATORRE, Damià. New boundary Harnack inequalities with right hand side. Journal of Differential Equations. 2021. Vol. 288, num. 204-249. ISSN 0022-0396. [consulted: 8 of June of 2026]. Available at: https://hdl.handle.net/2445/184172

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