Díaz Díaz, Jesús IldefonsoFaghloumi, Ch.2023-06-202023-06-2020020095-461610.1007/s00245-001-0038-2https://hdl.handle.net/20.500.14352/57326We 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.engjournal articlehttp://www.springerlink.com/content/h4t9a3t0jq7peatm/fulltext.pdfhttp://www.springerlink.com/restricted access517.954elliptic free boundarydegenerate operatorunbounded domainenvironmental policyGeometría diferencialEcuaciones diferenciales1204.04 Geometría Diferencial1202.07 Ecuaciones en Diferencias