Global weighted estimates for nonlinear elliptic obstacle problems over Reifenberg domains
Global weighted estimates for nonlinear elliptic obstacle problems over Reifenberg domains
We study the obstacle problem for an elliptic equation with discontinuous nonlinearity over a nonsmooth domain, assuming that the irregular obstacle and the nonhomogeneous term belong to suitable weighted Sobolev and Lebesgue spaces, respectively, with weights taken in the Muckenhoupt classes. We establish a CalderónâZygmund type result by proving that …