Ros, XavierTorres Latorre, Damià2022-03-162023-07-052021-07-050022-0396https://hdl.handle.net/2445/184172We 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.46 p.application/pdfengcc-by (c) Ros, Xavier et al., 2021http://creativecommons.org/licenses/by/3.0/es/Problemes de contornEquacions diferencials el·líptiquesBoundary value problemsElliptic differential equationsinfo:eu-repo/semantics/article7190922022-03-16info:eu-repo/semantics/openAccess