Boundary Regularity and Nontransversal Intersection for the Fully Nonlinear Obstacle Problem

Abstract

AbstractIn this paper a classification is given of blowup solutions at the intersection of the free and fixed boundary corresponding to obstacle problems generated by fully nonlinear, uniformly elliptic operators. As a consequence, nontransversal intersection is shown to hold in any dimension. Several regularity results are also obtained. © 2019 Wiley Periodicals, Inc.