Inverse problems for fractional semilinear elliptic equations

This paper is concerned with the forward and inverse problems for fractional semilinear elliptic equation (??)su+a(x,u)=0 0<s<1. For problem, we proved problem well-posed has a unique solution small exterior data. The consider here consists of two cases. First demonstrate that an unknown coefficient a(x,u) can be uniquely determined from knowledge measurements, known as Dirichlet-to-Neumann map. Second, despite presence obstacle in media, show recovered concurrently these measurements. Finally, investigate also solved by using single measurement, all results hold any dimension n?1.