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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. (English, Russian) Zbl 1312.46044

Sb. Math. 205, No. 2, 220-223 (2014); translation from Mat. Sb. 205, No. 2, 71-74 (2014).
Summary: We obtain sharp constants in multiplicative inequalities that characterize embeddings of the Sobolev spaces into the space of bounded continuous functions.
For the paper by S. I. Pokhozhaev see [Sb. Math. 205, No. 2, 277–290 (2014); translation from Mat. Sb. 205, No. 2, 131–144 (2014; Zbl 1361.35133)].

MSC:

46E35 Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems

Citations:

Zbl 1361.35133
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