Geodesic
Necessary conditions for weak lower semicontinuity on domains with infinite measure
ESAIM: Control, Optimisation and Calculus of Variations, Tome 16 (2010) no. 2, pp. 457-471
Cet article a éte moissonné depuis la source Numdam

Voir la notice de l'article

We derive sharp necessary conditions for weak sequential lower semicontinuity of integral functionals on Sobolev spaces, with an integrand which only depends on the gradient of a scalar field over a domain in ℝ N . An emphasis is put on domains with infinite measure, and the integrand is allowed to assume the value +∞.

DOI : 10.1051/cocv/2009005
Classification : 49J45
Keywords: scalar integral functionals, weak lower semicontinuity, necessary conditions 
@article{COCV_2010__16_2_457_0,
     author = {Kr\"omer, Stefan},
     title = {Necessary conditions for weak lower semicontinuity on domains with infinite measure},
     journal = {ESAIM: Control, Optimisation and Calculus of Variations},
     pages = {457--471},
     year = {2010},
     publisher = {EDP-Sciences},
     volume = {16},
     number = {2},
     doi = {10.1051/cocv/2009005},
     mrnumber = {2654202},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/cocv/2009005/}
}
TY  - JOUR
AU  - Krömer, Stefan
TI  - Necessary conditions for weak lower semicontinuity on domains with infinite measure
JO  - ESAIM: Control, Optimisation and Calculus of Variations
PY  - 2010
SP  - 457
EP  - 471
VL  - 16
IS  - 2
PB  - EDP-Sciences
UR  - http://geodesic.mathdoc.fr/articles/10.1051/cocv/2009005/
DO  - 10.1051/cocv/2009005
LA  - en
ID  - COCV_2010__16_2_457_0
ER  - 
%0 Journal Article
%A Krömer, Stefan
%T Necessary conditions for weak lower semicontinuity on domains with infinite measure
%J ESAIM: Control, Optimisation and Calculus of Variations
%D 2010
%P 457-471
%V 16
%N 2
%I EDP-Sciences
%U http://geodesic.mathdoc.fr/articles/10.1051/cocv/2009005/
%R 10.1051/cocv/2009005
%G en
%F COCV_2010__16_2_457_0
Krömer, Stefan. Necessary conditions for weak lower semicontinuity on domains with infinite measure. ESAIM: Control, Optimisation and Calculus of Variations, Tome 16 (2010) no. 2, pp. 457-471. doi: 10.1051/cocv/2009005

Cité par Sources :