Geodesic
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 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

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. 
@article{SM_2014_205_2_a2,
     author = {A. A. Ilyin},
     title = {A~class of sharp inequalities for periodic functions. {Addendum} to the paper {{\textquotedblleft}Smooth} solutions of the {Navier-Stokes} equations{\textquotedblright} by {S.} {I.~Pokhozhaev}},
     journal = {Sbornik. Mathematics},
     pages = {220--223},
     year = {2014},
     volume = {205},
     number = {2},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_2014_205_2_a2/}
}
TY  - JOUR
AU  - A. A. Ilyin
TI  - A class of sharp inequalities for periodic functions. Addendum to the paper “Smooth solutions of the Navier-Stokes equations” by S. I. Pokhozhaev
JO  - Sbornik. Mathematics
PY  - 2014
SP  - 220
EP  - 223
VL  - 205
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/SM_2014_205_2_a2/
LA  - en
ID  - SM_2014_205_2_a2
ER  - 
%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
%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/

[1] S. I. Pokhozhaev, “Gladkie resheniya uravnenii Nave–Stoksa”, Matem. sb., 205:2 (2014), 131–144

[2] Russian Math. Surveys, 69:2 (2014), 209–260 ; A. A. Ilyin, S. V. Zelik, Green's function asymptotics and sharp point-wise interpolation inequalities, arXiv: 1303.0957 | DOI | DOI | MR | Zbl