Semi-continuité inférieure d'intégrales multiples et d'intégrandes convergentes

Zhiping Li

ESAIM: Control, Optimisation and Calculus of Variations (2010)

  • Volume: 1, page 169-189
  • ISSN: 1292-8119

Abstract

top
Lower semicontinuity of multiple integrals ∫Ωƒ(x,uα,Pα)dµ and ∫Ωƒα(x,uα,Pα)dµ are studied. It is proved that the two can derive from each other under certain general hypotheses such as uniform lower compactness property and locally uniform convergence of ƒα to ƒ. The result is applied to obtain some general lower semicontinuity theorems on multiple integrals with quasiconvex integrand ƒ, while ƒα are not required to be quasiconvex.

How to cite

top

Li, Zhiping. "Semi-continuité inférieure d'intégrales multiples et d'intégrandes convergentes." ESAIM: Control, Optimisation and Calculus of Variations 1 (2010): 169-189. <http://eudml.org/doc/197317>.

@article{Li2010,
abstract = { Lower semicontinuity of multiple integrals ∫Ωƒ(x,uα,Pα)dµ and ∫Ωƒα(x,uα,Pα)dµ are studied. It is proved that the two can derive from each other under certain general hypotheses such as uniform lower compactness property and locally uniform convergence of ƒα to ƒ. The result is applied to obtain some general lower semicontinuity theorems on multiple integrals with quasiconvex integrand ƒ, while ƒα are not required to be quasiconvex. },
author = {Li, Zhiping},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
language = {eng},
month = {3},
pages = {169-189},
publisher = {EDP Sciences},
title = {Semi-continuité inférieure d'intégrales multiples et d'intégrandes convergentes},
url = {http://eudml.org/doc/197317},
volume = {1},
year = {2010},
}

TY - JOUR
AU - Li, Zhiping
TI - Semi-continuité inférieure d'intégrales multiples et d'intégrandes convergentes
JO - ESAIM: Control, Optimisation and Calculus of Variations
DA - 2010/3//
PB - EDP Sciences
VL - 1
SP - 169
EP - 189
AB - Lower semicontinuity of multiple integrals ∫Ωƒ(x,uα,Pα)dµ and ∫Ωƒα(x,uα,Pα)dµ are studied. It is proved that the two can derive from each other under certain general hypotheses such as uniform lower compactness property and locally uniform convergence of ƒα to ƒ. The result is applied to obtain some general lower semicontinuity theorems on multiple integrals with quasiconvex integrand ƒ, while ƒα are not required to be quasiconvex.
LA - eng
UR - http://eudml.org/doc/197317
ER -

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.