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Boundary regularity and non-transversal intersection for the fully nonlinear obstacle problem

Published 19 Sep 2017 in math.AP | (1709.06618v2)

Abstract: In this paper non-transversal intersection of the free and fixed boundary is shown to hold in any dimension for obstacle problems generated by fully nonlinear uniformly elliptic operators. Moreover, $C1$ regularity results of the free boundary are obtained and a classification of blow-up solutions is given.

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