A geometric approach for convexity in some variational problem in the Gauss space

Michael Goldman (1)

1 CMAP - Centre de Mathématiques Appliquées - Ecole Polytechnique

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 Korevaar.

Mots clés: convexity; obstacle problem; regularity; total variation; Gauss space

Domaines: Equations aux dérivées partielles [math.AP]; Géométrie différentielle [math.DG]

Michael Goldman. A geometric approach for convexity in some variational problem in the Gauss space. Rendiconti del Seminario Matematico della Università di Padova, 2013. ⟨hal-00635691⟩