We study the sequence , which is solution of in an open bounded set of and on , when tends to a measure concentrated on a set of null Orlicz-capacity. We consider the relation between this capacity and the -function , and prove a non-existence result.
Keywords: elliptic equation, Orlicz space, measure, capacity
@article{COCV_2003__9__317_0, author = {Fiorenza, Alberto and Prignet, Alain}, title = {Orlicz capacities and applications to some existence questions for elliptic {PDEs} having measure data}, journal = {ESAIM: Control, Optimisation and Calculus of Variations}, pages = {317--341}, publisher = {EDP-Sciences}, volume = {9}, year = {2003}, doi = {10.1051/cocv:2003015}, mrnumber = {1966536}, zbl = {1075.35012}, language = {en}, url = {http://archive.numdam.org/articles/10.1051/cocv:2003015/} }
TY - JOUR AU - Fiorenza, Alberto AU - Prignet, Alain TI - Orlicz capacities and applications to some existence questions for elliptic PDEs having measure data JO - ESAIM: Control, Optimisation and Calculus of Variations PY - 2003 SP - 317 EP - 341 VL - 9 PB - EDP-Sciences UR - http://archive.numdam.org/articles/10.1051/cocv:2003015/ DO - 10.1051/cocv:2003015 LA - en ID - COCV_2003__9__317_0 ER -
%0 Journal Article %A Fiorenza, Alberto %A Prignet, Alain %T Orlicz capacities and applications to some existence questions for elliptic PDEs having measure data %J ESAIM: Control, Optimisation and Calculus of Variations %D 2003 %P 317-341 %V 9 %I EDP-Sciences %U http://archive.numdam.org/articles/10.1051/cocv:2003015/ %R 10.1051/cocv:2003015 %G en %F COCV_2003__9__317_0
Fiorenza, Alberto; Prignet, Alain. Orlicz capacities and applications to some existence questions for elliptic PDEs having measure data. ESAIM: Control, Optimisation and Calculus of Variations, Volume 9 (2003), pp. 317-341. doi : 10.1051/cocv:2003015. http://archive.numdam.org/articles/10.1051/cocv:2003015/
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