Geodesic
On generalized Moser-Trudinger inequalities without boundary condition
Czechoslovak Mathematical Journal, Tome 62 (2012) no. 3, pp. 743-785.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

We give a version of the Moser-Trudinger inequality without boundary condition for Orlicz-Sobolev spaces embedded into exponential and multiple exponential spaces. We also derive the Concentration-Compactness Alternative for this inequality. As an application of our Concentration-Compactness Alternative we prove that a functional with the sub-critical growth attains its maximum.
DOI : 10.1007/s10587-012-0044-3
Classification : 26D10, 46E30, 46E35, 49J99
Keywords: Orlicz space; Orlicz-Sobolev space; embedding theorem; sharp constant; Moser-Trudinger inequality; concentration-compactness principle 
@article{10_1007_s10587_012_0044_3,
     author = {\v{C}ern\'y, Robert},
     title = {On generalized {Moser-Trudinger} inequalities without boundary condition},
     journal = {Czechoslovak Mathematical Journal},
     pages = {743--785},
     publisher = {mathdoc},
     volume = {62},
     number = {3},
     year = {2012},
     doi = {10.1007/s10587-012-0044-3},
     mrnumber = {2984633},
     zbl = {1265.46047},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1007/s10587-012-0044-3/}
}
TY  - JOUR
AU  - Černý, Robert
TI  - On generalized Moser-Trudinger inequalities without boundary condition
JO  - Czechoslovak Mathematical Journal
PY  - 2012
SP  - 743
EP  - 785
VL  - 62
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.1007/s10587-012-0044-3/
DO  - 10.1007/s10587-012-0044-3
LA  - en
ID  - 10_1007_s10587_012_0044_3
ER  - 
%0 Journal Article
%A Černý, Robert
%T On generalized Moser-Trudinger inequalities without boundary condition
%J Czechoslovak Mathematical Journal
%D 2012
%P 743-785
%V 62
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.1007/s10587-012-0044-3/
%R 10.1007/s10587-012-0044-3
%G en
%F 10_1007_s10587_012_0044_3
Černý, Robert. On generalized Moser-Trudinger inequalities without boundary condition. Czechoslovak Mathematical Journal, Tome 62 (2012) no. 3, pp. 743-785. doi : 10.1007/s10587-012-0044-3. http://geodesic.mathdoc.fr/articles/10.1007/s10587-012-0044-3/

Cité par Sources :