On the lower semicontinuity of supremal functionals defined on measures

Michele Gori

Bollettino dell'Unione Matematica Italiana (2006)

  • Volume: 9-B, Issue: 2, page 327-369
  • ISSN: 0392-4041

Abstract

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In this paper we consider two particular classes of supremal functionals defined on Radon measures and we find necessary and sufficient conditions for their lower semicontinuity with respect to the weak* convergence. Some applications to the minimization of functionals defined on BV are presented.

How to cite

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Gori, Michele. "On the lower semicontinuity of supremal functionals defined on measures." Bollettino dell'Unione Matematica Italiana 9-B.2 (2006): 327-369. <http://eudml.org/doc/289617>.

@article{Gori2006,
abstract = {In this paper we consider two particular classes of supremal functionals defined on Radon measures and we find necessary and sufficient conditions for their lower semicontinuity with respect to the weak* convergence. Some applications to the minimization of functionals defined on BV are presented.},
author = {Gori, Michele},
journal = {Bollettino dell'Unione Matematica Italiana},
language = {eng},
month = {6},
number = {2},
pages = {327-369},
publisher = {Unione Matematica Italiana},
title = {On the lower semicontinuity of supremal functionals defined on measures},
url = {http://eudml.org/doc/289617},
volume = {9-B},
year = {2006},
}

TY - JOUR
AU - Gori, Michele
TI - On the lower semicontinuity of supremal functionals defined on measures
JO - Bollettino dell'Unione Matematica Italiana
DA - 2006/6//
PB - Unione Matematica Italiana
VL - 9-B
IS - 2
SP - 327
EP - 369
AB - In this paper we consider two particular classes of supremal functionals defined on Radon measures and we find necessary and sufficient conditions for their lower semicontinuity with respect to the weak* convergence. Some applications to the minimization of functionals defined on BV are presented.
LA - eng
UR - http://eudml.org/doc/289617
ER -

References

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