Inserted: 28 sep 2011
Last Updated: 17 apr 2016
Journal: J. Math. Pures et Appl.
We show convexity of solutions to a class of convex variational problems in the Gauss and in the Wiener space. An important tool in the proof is a representation formula for integral functionals in this infinite dimensional setting, that extends analogous results valid in the classical Euclidean framework.