Journal of convex analysis, Tome 14 (2007) no. 4, pp. 705-727
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S. Zagatti. Uniqueness and Continuous Dependence on Boundary Data for Integro-Extremal Minimizers of the Functional of the Gradient. Journal of convex analysis, Tome 14 (2007) no. 4, pp. 705-727. http://geodesic.mathdoc.fr/item/JCA_2007_14_4_JCA_2007_14_4_a2/
@article{JCA_2007_14_4_JCA_2007_14_4_a2,
author = {S. Zagatti},
title = {Uniqueness and {Continuous} {Dependence} on {Boundary} {Data} for {Integro-Extremal} {Minimizers} of the {Functional} of the {Gradient}},
journal = {Journal of convex analysis},
pages = {705--727},
year = {2007},
volume = {14},
number = {4},
url = {http://geodesic.mathdoc.fr/item/JCA_2007_14_4_JCA_2007_14_4_a2/}
}
TY - JOUR
AU - S. Zagatti
TI - Uniqueness and Continuous Dependence on Boundary Data for Integro-Extremal Minimizers of the Functional of the Gradient
JO - Journal of convex analysis
PY - 2007
SP - 705
EP - 727
VL - 14
IS - 4
UR - http://geodesic.mathdoc.fr/item/JCA_2007_14_4_JCA_2007_14_4_a2/
ID - JCA_2007_14_4_JCA_2007_14_4_a2
ER -
%0 Journal Article
%A S. Zagatti
%T Uniqueness and Continuous Dependence on Boundary Data for Integro-Extremal Minimizers of the Functional of the Gradient
%J Journal of convex analysis
%D 2007
%P 705-727
%V 14
%N 4
%U http://geodesic.mathdoc.fr/item/JCA_2007_14_4_JCA_2007_14_4_a2/
%F JCA_2007_14_4_JCA_2007_14_4_a2
We study some qualitative properties of the integro-extremal minimizers of the functional of the gradient defined on Sobolev spaces with Dirichlet boundary conditions. We discuss their use in the non-convex case via viscosity methods and give conditions under which they are unique and depend continuously on boundary data.
