# name
New boundary Harnack inequalities with right hand side

# metadata.dc.description.abstract[].value
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.

# metadata.dc.relation.ispartof[].value
Journal of Differential Equations, 2021, vol. 288, p. 204-249

# metadata.dc.source[].value
Articles publicats en revistes (Matemàtiques i Informàtica)

# metadata.dc.title[].value
New boundary Harnack inequalities with right hand side