| AND (2008) | |||||||||||||||||
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| 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 W 2,∞ Q. Keywords: Obstacle-type problems, Optimal regularity, Fully nonlinear equations in | |||||||||||||||||
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