Geodesic
A characterization of gradient Young-concentration measures generated by solutions of Dirichlet-type problems with large sources
ESAIM: Control, Optimisation and Calculus of Variations, Tome 15 (2009) no. 4, pp. 818-838 Cet article a éte moissonné depuis la source Numdam

Voir la notice de l'article

We show how to capture the gradient concentration of the solutions of Dirichlet-type problems subjected to large sources of order 1 ε concentrated on an ε-neighborhood of a hypersurface of the domain. To this end we define the gradient Young-concentration measures generated by sequences of finite energy and establish a very simple characterization of these measures.

DOI : 10.1051/cocv:2008048
Classification : 49Q20, 28A33
Keywords: gradient Young measures, concentration measures, minimization problems, quasiconvexity 
@article{COCV_2009__15_4_818_0,
     author = {Croce, Gisella and Lacour, Catherine and Michaille, G\'erard},
     title = {A characterization of gradient {Young-concentration} measures generated by solutions of {Dirichlet-type} problems with large sources},
     journal = {ESAIM: Control, Optimisation and Calculus of Variations},
     pages = {818--838},
     year = {2009},
     publisher = {EDP-Sciences},
     volume = {15},
     number = {4},
     doi = {10.1051/cocv:2008048},
     mrnumber = {2567247},
     zbl = {1175.49039},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/cocv:2008048/}
}
TY  - JOUR
AU  - Croce, Gisella
AU  - Lacour, Catherine
AU  - Michaille, Gérard
TI  - A characterization of gradient Young-concentration measures generated by solutions of Dirichlet-type problems with large sources
JO  - ESAIM: Control, Optimisation and Calculus of Variations
PY  - 2009
SP  - 818
EP  - 838
VL  - 15
IS  - 4
PB  - EDP-Sciences
UR  - http://geodesic.mathdoc.fr/articles/10.1051/cocv:2008048/
DO  - 10.1051/cocv:2008048
LA  - en
ID  - COCV_2009__15_4_818_0
ER  - 
%0 Journal Article
%A Croce, Gisella
%A Lacour, Catherine
%A Michaille, Gérard
%T A characterization of gradient Young-concentration measures generated by solutions of Dirichlet-type problems with large sources
%J ESAIM: Control, Optimisation and Calculus of Variations
%D 2009
%P 818-838
%V 15
%N 4
%I EDP-Sciences
%U http://geodesic.mathdoc.fr/articles/10.1051/cocv:2008048/
%R 10.1051/cocv:2008048
%G en
%F COCV_2009__15_4_818_0
Croce, Gisella; Lacour, Catherine; Michaille, Gérard. A characterization of gradient Young-concentration measures generated by solutions of Dirichlet-type problems with large sources. ESAIM: Control, Optimisation and Calculus of Variations, Tome 15 (2009) no. 4, pp. 818-838. doi: 10.1051/cocv:2008048

Cité par Sources :