Continuity of embeddings of weighted Sobolev spaces in Lebesgue spaces on anisotropically irregular domains-Reference-Cited by-同舟云学术

Continuity of embeddings of weighted Sobolev spaces in Lebesgue spaces on anisotropically irregular domains

Published:2010-07 Issue:1 Volume:269 Page:265-283
ISSN:0081-5438
Container-title:Proceedings of the Steklov Institute of Mathematics
language:en
Short-container-title:Proc. Steklov Inst. Math.

Author:

Trushin B. V.

Publisher

Pleiades Publishing Ltd

Subject

Mathematics (miscellaneous)

Link

http://link.springer.com/content/pdf/10.1134/S0081543810020239.pdf

Reference25 articles.

1. S. L. Sobolev, Some Applications of Functional Analysis in Mathematical Physics (Nauka, Moscow, 1988; Am. Math. Soc., Providence, RI, 1991).

2. S. L. Sobolev, “On Some Estimates Related to the Families of Functions with Square Integrable Derivatives,” Dokl. Akad. Nauk SSSR 1(7), 267–270 (1936).

3. S. L. Sobolev, “On a Theorem of Functional Analysis,” Mat. Sb. 4(3), 471–497 (1938) [Am. Math. Soc. Transl., Ser. 2, 34, 39–68 (1963)].

4. V. G. Maz’ya, Sobolev Spaces (Leningrad. Gos. Univ., Leningrad, 1985; Springer, Berlin, 1985).

5. Yu. G. Reshetnyak, “Integral Representations of Differentiable Functions in Domains with Nonsmooth Boundary,” Sib. Mat. Zh. 21(6), 108–116 (1980) [Sib. Math. J. 21, 833–839 (1981)].

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