Lower semicontinuous envelopes in $W^{1,1}\times L^p$

Ana Margarida Ribeiro, and Elvira Zappale. "Lower semicontinuous envelopes in $W^{1,1} × L^{p}$." Banach Center Publications 101.1 (2014): 187-206. <http://eudml.org/doc/282025>.

@article{AnaMargaridaRibeiro2014,
abstract = {The lower semicontinuity of functionals of the type $∫_Ω f(x,u,v,∇u)dx$ with respect to the $(W^\{1,1\} × L^p)$-weak* topology is studied. Moreover, in absence of lower semicontinuity, an integral representation in $W^\{1,1\} × L^p$ for the lower semicontinuous envelope is also provided.},
author = {Ana Margarida Ribeiro, Elvira Zappale},
journal = {Banach Center Publications},
keywords = {lower semicontinuity; convexity-quasiconvexity},
language = {eng},
number = {1},
pages = {187-206},
title = {Lower semicontinuous envelopes in $W^\{1,1\} × L^\{p\}$},
url = {http://eudml.org/doc/282025},
volume = {101},
year = {2014},
}

TY - JOUR
AU - Ana Margarida Ribeiro
AU - Elvira Zappale
TI - Lower semicontinuous envelopes in $W^{1,1} × L^{p}$
JO - Banach Center Publications
PY - 2014
VL - 101
IS - 1
SP - 187
EP - 206
AB - The lower semicontinuity of functionals of the type $∫_Ω f(x,u,v,∇u)dx$ with respect to the $(W^{1,1} × L^p)$-weak* topology is studied. Moreover, in absence of lower semicontinuity, an integral representation in $W^{1,1} × L^p$ for the lower semicontinuous envelope is also provided.
LA - eng
KW - lower semicontinuity; convexity-quasiconvexity
UR - http://eudml.org/doc/282025
ER -