A~class of sharp inequalities for periodic functions. Addendum to the paper ``Smooth solutions of the Navier-Stokes equations'' by S.\,I.~Pokhozhaev
Sbornik. Mathematics, Tome 205 (2014) no. 2, pp. 220-223
Voir la notice de l'article provenant de la source Math-Net.Ru
We obtain sharp constants in multiplicative inequalities that characterize embeddings of the Sobolev spaces into the space of bounded continuous functions.
Bibliography: 2 titles.
Keywords:
Sobolev inequalities, interpolation inequalities
Mots-clés : sharp constants.
Mots-clés : sharp constants.
@article{SM_2014_205_2_a2,
author = {A. A. Ilyin},
title = {A~class of sharp inequalities for periodic functions. {Addendum} to the paper {``Smooth} solutions of the {Navier-Stokes} equations'' by {S.\,I.~Pokhozhaev}},
journal = {Sbornik. Mathematics},
pages = {220--223},
publisher = {mathdoc},
volume = {205},
number = {2},
year = {2014},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_2014_205_2_a2/}
}
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%0 Journal Article %A A. A. Ilyin %T A~class of sharp inequalities for periodic functions. Addendum to the paper ``Smooth solutions of the Navier-Stokes equations'' by S.\,I.~Pokhozhaev %J Sbornik. Mathematics %D 2014 %P 220-223 %V 205 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/SM_2014_205_2_a2/ %G en %F SM_2014_205_2_a2
A. A. Ilyin. A~class of sharp inequalities for periodic functions. Addendum to the paper ``Smooth solutions of the Navier-Stokes equations'' by S.\,I.~Pokhozhaev. Sbornik. Mathematics, Tome 205 (2014) no. 2, pp. 220-223. http://geodesic.mathdoc.fr/item/SM_2014_205_2_a2/