Moser-Trudinger and logarithmic HLS inequalities for systems

Shafrir, Itai, and Wolansky, Gershon. "Moser-Trudinger and logarithmic HLS inequalities for systems." Journal of the European Mathematical Society 007.4 (2005): 413-448. <http://eudml.org/doc/277565>.

@article{Shafrir2005,
abstract = {We prove several optimal Moser–Trudinger and logarithmic Hardy–Littlewood–Sobolev inequalities for systems in two dimensions. These include inequalities on the sphere $S^2$, on a bounded domain $\Omega \subset \mathbb \{R\}^2$ and on all of $\mathbb \{R\}^2$. In some cases we also address the question of existence of minimizers.},
author = {Shafrir, Itai, Wolansky, Gershon},
journal = {Journal of the European Mathematical Society},
language = {eng},
number = {4},
pages = {413-448},
publisher = {European Mathematical Society Publishing House},
title = {Moser-Trudinger and logarithmic HLS inequalities for systems},
url = {http://eudml.org/doc/277565},
volume = {007},
year = {2005},
}

TY - JOUR
AU - Shafrir, Itai
AU - Wolansky, Gershon
TI - Moser-Trudinger and logarithmic HLS inequalities for systems
JO - Journal of the European Mathematical Society
PY - 2005
PB - European Mathematical Society Publishing House
VL - 007
IS - 4
SP - 413
EP - 448
AB - We prove several optimal Moser–Trudinger and logarithmic Hardy–Littlewood–Sobolev inequalities for systems in two dimensions. These include inequalities on the sphere $S^2$, on a bounded domain $\Omega \subset \mathbb {R}^2$ and on all of $\mathbb {R}^2$. In some cases we also address the question of existence of minimizers.
LA - eng
UR - http://eudml.org/doc/277565
ER -