On a weighted two-phase boundary obstacle problem
On a weighted two-phase boundary obstacle problem
In this work we consider an inhomogeneous two-phase obstacle-type problem driven by the fractional Laplacian.In particular, making use of the Caffarelli-Silvestre extension, Almgren and Monneau type monotonicity formulas and blow-up analysis, we provide a classification of the possible vanishing orders, which implies the strong unique continuation property.Moreover, we prove a …