Embedding of Sobolev spaces and properties of the domain

Author:

Besov O. V.

Publisher

Pleiades Publishing Ltd

Subject

General Mathematics

Reference15 articles.

1. S. L. Sobolev, Applications of Functional Analysis to Mathematical Physics (Nauka, Moscow, 1988) [in Russian].

2. V. G. Maz’ya, Sobolev Spaces (Izd. Leningradsk. Univ., Leningrad, 1985) [in Russian].

3. V. M. Gol’dshtein and Yu. G. Reshetnyak, Introduction to the Theory of Functions with Generalized Derivatives and Quasiconformal Mappings (Nauka, Moscow, 1983) [in Russian].

4. Yu. G. Reshetnyak, “Integral representations of differentiable functions in domains with nonsmooth boundary,” Sibirsk. Mat. Zh. 21(6), 108–116 (1980).

5. O. V. Besov, “Sobolev’s embedding theorem for a domain with irregular boundary,” Mat. Sb. 192(3), 3–26 (2001) [Sb. Math. 192 (3), 3–26 (2001)].

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