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”, Mat. Sb., 2014, Volume 205, Number 2,Pages <nobr>71

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A class of sharp inequalities for periodic functions. Addendum to the paper “Smooth solutions of the Navier-Stokes equations” by S. I. Pokhozhaev

A. A. Ilyin^ab

^a M. V. Keldysh Institute for Applied Mathematics, Russian Academy of Sciences, Moscow
^b A. A. Kharkevich Institute for Information Transmission Problems, Russian Academy of Sciences, Moscow

Abstract: 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, sharp constants.

UDC: 517.97

MSC: 46E35

Received: 17.07.2013

DOI: 10.4213/sm8272