Geodesic
On the lower semicontinuity of supremal functionals
ESAIM: Control, Optimisation and Calculus of Variations, Tome 9 (2003), pp. 135-143

Voir la notice de l'article provenant de la source Numdam

In this paper we study the lower semicontinuity problem for a supremal functional of the form F(u,Ω)= ess sup x∈Ωf(x,u(x),Du(x)) with respect to the strong convergence in L ∞ (Ω), furnishing a comparison with the analogous theory developed by Serrin for integrals. A sort of Mazur’s lemma for gradients of uniformly converging sequences is proved.

DOI : 10.1051/cocv:2003005
Classification : 49J45, 49L25
Keywords: supremal functionals, lower semicontinuity, level convexity, calculus of variations, Mazur's lemma 
@article{COCV_2003__9__135_0,
     author = {Gori, Michele and Maggi, Francesco},
     title = {On the lower semicontinuity of supremal functionals},
     journal = {ESAIM: Control, Optimisation and Calculus of Variations},
     pages = {135--143},
     publisher = {EDP-Sciences},
     volume = {9},
     year = {2003},
     doi = {10.1051/cocv:2003005},
     mrnumber = {1957094},
     zbl = {1066.49010},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/cocv:2003005/}
}
TY  - JOUR
AU  - Gori, Michele
AU  - Maggi, Francesco
TI  - On the lower semicontinuity of supremal functionals
JO  - ESAIM: Control, Optimisation and Calculus of Variations
PY  - 2003
SP  - 135
EP  - 143
VL  - 9
PB  - EDP-Sciences
UR  - http://geodesic.mathdoc.fr/articles/10.1051/cocv:2003005/
DO  - 10.1051/cocv:2003005
LA  - en
ID  - COCV_2003__9__135_0
ER  - 
%0 Journal Article
%A Gori, Michele
%A Maggi, Francesco
%T On the lower semicontinuity of supremal functionals
%J ESAIM: Control, Optimisation and Calculus of Variations
%D 2003
%P 135-143
%V 9
%I EDP-Sciences
%U http://geodesic.mathdoc.fr/articles/10.1051/cocv:2003005/
%R 10.1051/cocv:2003005
%G en
%F COCV_2003__9__135_0
Gori, Michele; Maggi, Francesco. On the lower semicontinuity of supremal functionals. ESAIM: Control, Optimisation and Calculus of Variations, Tome 9 (2003), pp. 135-143. doi: 10.1051/cocv:2003005

Cité par Sources :