18 citations · 92 across the 40 of their papers we have counts for
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A geometric approach for convexity in some variational problem in the Gauss space
Michael Goldman
In this short note we prove the convexity of minimizers of some variational problem in the Gauss space. This proof is based on a geometric version of an older argument due to Korev…
Representation, relaxation and convexity for variational problems in Wiener spaces
Antonin Chambolle, Michael Goldman, Matteo Novaga
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 integr…
Approximation and relaxation of perimeter in the Wiener space
Michael Goldman, Matteo Novaga
We characterize the relaxation of the perimeter in an infinite dimensional Wiener space, with respect to the weak L^2-topology. We also show that the rescaled Allen-Cahn functional…
Volume-constrained minimizers for the prescribed curvature problem in periodic media
Michael Goldman, Matteo Novaga
We establish existence of compact minimizers of the prescribed mean curvature problem with volume constraint in periodic media. As a consequence, we construct compact approximate s…