Orador Convidado: Makson Santos, Center for Mathematical Studies, University of Lisbon

Abstract:In this talk, we investigate the regularity properties of solutions to a of fully nonlinear nonlocal equations, both elliptic and degenerate. For the elliptic case, we establish optimal regularity results for equations with a right-hand side in $L^p$, where the regularity space depends on the value of $p$. In the degenerate case, we prove the existence of at least one viscosity solution belonging to the $C_{loc}^{1, lpha}$, for some constant $lpha in (0,1)$.

Online: https://bigbluebutton.uevora.pt/rooms/jbv-e2n-yhk-qqj/join