Annali di Matematica Pura ed Applicata

, Volume 122, Issue 1, pp 269–287

Variational functionals defined on spaces ofBV functions and their dependence on boundary data

  • Francesco Ferro

DOI: 10.1007/BF02411696

Cite this article as:
Ferro, F. Annali di Matematica (1979) 122: 269. doi:10.1007/BF02411696


We extend in a suitable way a class of functionals defined on W1,1 (Ω) to the space BVb(Ω) ⊗ (C(∂Ω))*. Optimization theorems for the extended functional are given. As an application we obtain a known result about minimal surface problems.

Copyright information

© Fondazione Annali di Matematica Pura ed Applicata 1979

Authors and Affiliations

  • Francesco Ferro
    • 1
  1. 1.Genova

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