RT Journal Article T1 Analysis of a degenerate obstacle problem on an unbounded set arising in the environment A1 Díaz Díaz, Jesús Ildefonso A1 Faghloumi, Ch. AB We study a class of optimization dynamics problems related to investment under uncertainty. The general model problem is reformulated in terms of an obstacle problem associated to a second-order elliptic operator which is not in divergence form. The spatial domain is unbounded and no boundary conditions are a priori specified. By using the special structure of the differential operator and the spatial domain, and some approximating arguments, we show the existence and uniqueness of a solution of the problem. We also study the regularity of the solution and give some estimates on the location of the coincidence set. PB Springer SN 0095-4616 YR 2002 FD 2002 LK https://hdl.handle.net/20.500.14352/57326 UL https://hdl.handle.net/20.500.14352/57326 LA eng NO DGES (Spain), DS Docta Complutense RD 7 abr 2025