no. 4

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.

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 : https://doi.org/10.1051/cocv:2008048
Classification : 49Q20,  28A33
Mots clés : 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},
     publisher = {EDP-Sciences},
     volume = {15},
     number = {4},
     year = {2009},
     doi = {10.1051/cocv:2008048},
     zbl = {1175.49039},
     mrnumber = {2567247},
     language = {en},
     url = {http://www.numdam.org/item/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. http://www.numdam.org/item/COCV_2009__15_4_818_0/

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