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

Research output: Contribution to journalArticlepeer-review

Abstract

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.

Original languageEnglish
Pages (from-to)79-91
Number of pages13
JournalRendiconti del Seminario Matematico dell 'Universita' di Padova/Mathematical Journal of the University of Padova
Volume129
DOIs
Publication statusPublished - 1 Jan 2013

Keywords

  • Convexity
  • Gauss space
  • Obstacle problem
  • Regularity
  • Total variation

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