Geodesic
Lower semicontinuity in BV of quasiconvex integrals with subquadratic growth
ESAIM: Control, Optimisation and Calculus of Variations, Tome 19 (2013) no. 2, pp. 555-573

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

MR Zbl

A lower semicontinuity result in BV is obtained for quasiconvex integrals with subquadratic growth. The key steps in this proof involve obtaining boundedness properties for an extension operator, and a precise blow-up technique that uses fine properties of Sobolev maps. A similar result is obtained by Kristensen in [Calc. Var. Partial Differ. Equ. 7 (1998) 249-261], where there are weaker asssumptions on convergence but the integral needs to satisfy a stronger growth condition.

DOI : 10.1051/cocv/2012021
Classification : 49J45
Keywords: lower semicontinuity, quasiconvex integrals, functions of bounded variation 
Soneji, Parth. Lower semicontinuity in BV of quasiconvex integrals with subquadratic growth. ESAIM: Control, Optimisation and Calculus of Variations, Tome 19 (2013) no. 2, pp. 555-573. doi: 10.1051/cocv/2012021
@article{COCV_2013__19_2_555_0,
     author = {Soneji, Parth},
     title = {Lower semicontinuity in {BV} of quasiconvex integrals with subquadratic growth},
     journal = {ESAIM: Control, Optimisation and Calculus of Variations},
     pages = {555--573},
     year = {2013},
     publisher = {EDP-Sciences},
     volume = {19},
     number = {2},
     doi = {10.1051/cocv/2012021},
     mrnumber = {3049723},
     zbl = {1263.49012},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/cocv/2012021/}
}
TY  - JOUR
AU  - Soneji, Parth
TI  - Lower semicontinuity in BV of quasiconvex integrals with subquadratic growth
JO  - ESAIM: Control, Optimisation and Calculus of Variations
PY  - 2013
SP  - 555
EP  - 573
VL  - 19
IS  - 2
PB  - EDP-Sciences
UR  - http://geodesic.mathdoc.fr/articles/10.1051/cocv/2012021/
DO  - 10.1051/cocv/2012021
LA  - en
ID  - COCV_2013__19_2_555_0
ER  - 
%0 Journal Article
%A Soneji, Parth
%T Lower semicontinuity in BV of quasiconvex integrals with subquadratic growth
%J ESAIM: Control, Optimisation and Calculus of Variations
%D 2013
%P 555-573
%V 19
%N 2
%I EDP-Sciences
%U http://geodesic.mathdoc.fr/articles/10.1051/cocv/2012021/
%R 10.1051/cocv/2012021
%G en
%F COCV_2013__19_2_555_0

Cité par Sources :