We study the integral representation properties of limits of sequences of integral functionals like under nonstandard growth conditions of -type: namely, we assume that
Classification : 49J45, 49M20, 46E35
Mots clés : integral representation, -convergence, nonstandard growth conditions
@article{COCV_2002__7__495_0, author = {Coscia, Alessandra and Mucci, Domenico}, title = {Integral representation and $\sf \Gamma $-convergence of variational integrals with ${p(x)}$-growth}, journal = {ESAIM: Control, Optimisation and Calculus of Variations}, pages = {495--519}, publisher = {EDP-Sciences}, volume = {7}, year = {2002}, doi = {10.1051/cocv:2002065}, zbl = {1036.49022}, mrnumber = {1925039}, language = {en}, url = {http://www.numdam.org/articles/10.1051/cocv:2002065/} }
TY - JOUR AU - Coscia, Alessandra AU - Mucci, Domenico TI - Integral representation and $\sf \Gamma $-convergence of variational integrals with ${p(x)}$-growth JO - ESAIM: Control, Optimisation and Calculus of Variations PY - 2002 DA - 2002/// SP - 495 EP - 519 VL - 7 PB - EDP-Sciences UR - http://www.numdam.org/articles/10.1051/cocv:2002065/ UR - https://zbmath.org/?q=an%3A1036.49022 UR - https://www.ams.org/mathscinet-getitem?mr=1925039 UR - https://doi.org/10.1051/cocv:2002065 DO - 10.1051/cocv:2002065 LA - en ID - COCV_2002__7__495_0 ER -
Coscia, Alessandra; Mucci, Domenico. Integral representation and $\sf \Gamma $-convergence of variational integrals with ${p(x)}$-growth. ESAIM: Control, Optimisation and Calculus of Variations, Tome 7 (2002), pp. 495-519. doi : 10.1051/cocv:2002065. http://www.numdam.org/articles/10.1051/cocv:2002065/
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