Resumen de Regularity for obstacle problems in infinite dimensional Hilbert spaces

Andrzej Swiech, Eduardo V. Teixeira

• In this paper we study fully nonlinear obstacle-type problems in Hilbert spaces. We introduce the notion of Q-elliptic equation and prove existence, uniqueness, and regularity of viscosity solutions of Q-elliptic obstacle problems. In particular we show that solutions of concave problems with semiconvex obstacles are in the space .