Limiting Sobolev inequalities for vector fields and canceling linear differential operators
Journal of the European Mathematical Society, Tome 15 (2013) no. 3, pp. 877-921
Voir la notice de l'article provenant de la source EMS Press
The estimate
Classification :
46-XX, 26-XX, 42-XX, 00-XX
Keywords: Sobolev embedding, overdetermined elliptic operator, compatibility conditions, homogeneous differential operator, canceling operator, cocanceling operator, exterior derivative, symmetric derivative, homogeneous Triebel−Lizorkin space, homogeneous Besov space, Lorentz space, homogeneous fractional Sobolev−Slobodeckiĭ space, Korn−Sobolev inequality, Hodge inequality, Saint-Venant
Keywords: Sobolev embedding, overdetermined elliptic operator, compatibility conditions, homogeneous differential operator, canceling operator, cocanceling operator, exterior derivative, symmetric derivative, homogeneous Triebel−Lizorkin space, homogeneous Besov space, Lorentz space, homogeneous fractional Sobolev−Slobodeckiĭ space, Korn−Sobolev inequality, Hodge inequality, Saint-Venant
@article{JEMS_2013_15_3_a7,
author = {Jean Van Schaftingen},
title = {Limiting {Sobolev} inequalities for vector fields and canceling linear differential operators},
journal = {Journal of the European Mathematical Society},
pages = {877--921},
publisher = {mathdoc},
volume = {15},
number = {3},
year = {2013},
doi = {10.4171/jems/380},
url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/380/}
}
TY - JOUR AU - Jean Van Schaftingen TI - Limiting Sobolev inequalities for vector fields and canceling linear differential operators JO - Journal of the European Mathematical Society PY - 2013 SP - 877 EP - 921 VL - 15 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.4171/jems/380/ DO - 10.4171/jems/380 ID - JEMS_2013_15_3_a7 ER -
%0 Journal Article %A Jean Van Schaftingen %T Limiting Sobolev inequalities for vector fields and canceling linear differential operators %J Journal of the European Mathematical Society %D 2013 %P 877-921 %V 15 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.4171/jems/380/ %R 10.4171/jems/380 %F JEMS_2013_15_3_a7
Jean Van Schaftingen. Limiting Sobolev inequalities for vector fields and canceling linear differential operators. Journal of the European Mathematical Society, Tome 15 (2013) no. 3, pp. 877-921. doi: 10.4171/jems/380
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