Journal of convex analysis, Tome 8 (2001) no. 2, pp. 349-368
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N. Fusco; G. Mingione; C. Trombetti. Regularity of Minimizers for a Class of Anistropic Free Discontinuity Problems. Journal of convex analysis, Tome 8 (2001) no. 2, pp. 349-368. http://geodesic.mathdoc.fr/item/JCA_2001_8_2_JCA_2001_8_2_a2/
@article{JCA_2001_8_2_JCA_2001_8_2_a2,
author = {N. Fusco and G. Mingione and C. Trombetti},
title = {Regularity of {Minimizers} for a {Class} of {Anistropic} {Free} {Discontinuity} {Problems}},
journal = {Journal of convex analysis},
pages = {349--368},
year = {2001},
volume = {8},
number = {2},
url = {http://geodesic.mathdoc.fr/item/JCA_2001_8_2_JCA_2001_8_2_a2/}
}
TY - JOUR
AU - N. Fusco
AU - G. Mingione
AU - C. Trombetti
TI - Regularity of Minimizers for a Class of Anistropic Free Discontinuity Problems
JO - Journal of convex analysis
PY - 2001
SP - 349
EP - 368
VL - 8
IS - 2
UR - http://geodesic.mathdoc.fr/item/JCA_2001_8_2_JCA_2001_8_2_a2/
ID - JCA_2001_8_2_JCA_2001_8_2_a2
ER -
%0 Journal Article
%A N. Fusco
%A G. Mingione
%A C. Trombetti
%T Regularity of Minimizers for a Class of Anistropic Free Discontinuity Problems
%J Journal of convex analysis
%D 2001
%P 349-368
%V 8
%N 2
%U http://geodesic.mathdoc.fr/item/JCA_2001_8_2_JCA_2001_8_2_a2/
%F JCA_2001_8_2_JCA_2001_8_2_a2
This paper contains existence and regularity results for solutions u from Ω to (Rn)N of a class of free discontinuity problems i. e.: the energy to minimize consists of both a bulk and a surface part. The main feature of the class of problems considered here is that the energy density of the bulk part is supposed to be fully anisotropic with p-growth in the scalar case, n = 1. Similar results for the vectorial case n >1 are obtained for radial energy densities, being anisotropic again with p growth.
