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

M. Goldman

Rendiconti del Seminario Matematico della Università di Padova (2013)

  • Volume: 129, page 79-92
  • ISSN: 0041-8994

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Goldman, M.. "A geometric approach for convexity in some variational problem in the Gauss space." Rendiconti del Seminario Matematico della Università di Padova 129 (2013): 79-92. <http://eudml.org/doc/275122>.

@article{Goldman2013,
author = {Goldman, M.},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {convexity; obstacle problem; regularity; total variation; Gauss space},
language = {eng},
pages = {79-92},
publisher = {Seminario Matematico of the University of Padua},
title = {A geometric approach for convexity in some variational problem in the Gauss space},
url = {http://eudml.org/doc/275122},
volume = {129},
year = {2013},
}

TY - JOUR
AU - Goldman, M.
TI - A geometric approach for convexity in some variational problem in the Gauss space
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 2013
PB - Seminario Matematico of the University of Padua
VL - 129
SP - 79
EP - 92
LA - eng
KW - convexity; obstacle problem; regularity; total variation; Gauss space
UR - http://eudml.org/doc/275122
ER -

References

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  5. [5] A. Chambolle - M. Goldman - M. Novaga, Representation, relaxation and convexity for variational problems in Wiener spaces, preprint (2011). MR3035950
  6. [6] M. Giaquinta - G. Modica - J. Souček, Functionals with linear growth in the calculus of variations I & II, Com. Math. Uni. Carolinae, 20 (1979), pp.143–171. Zbl0409.49006MR526154
  7. [7] D. Gilbarg - N. Trudinger, Elliptic partial differential equations of second order, Classics in Mathematics. Springer-Verlag (2001). Zbl1042.35002MR1814364
  8. [8] E. Giusti, Minimal Surfaces and functions of Bounded Variation, Monographs in Mathematics, vol. 80, Birkhäuser (1984). Zbl0545.49018MR775682
  9. [9] E. Giusti, On the equation of surfaces of Prescribed mean curvature, Inventiones Mathematicae, 46 (1978), pp.111–137. Zbl0381.35035MR487722
  10. [10] N. Korevaar, Convex solutions to nonlinear elliptic and parabolic boundary value problems, Indiana Univ. Math. J., 32 (1983), pp. 603–614. Zbl0481.35024MR703287
  11. [11] M. Miranda, Frontiere minimali con ostacoli, Annali dell'Università di Ferrara, vol. 16, no. 1 (1971), pp. 29–37. Zbl0266.49036MR301617

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