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Sibirskii Matematicheskii Zhurnal, 2014, Volume 55, Number 3, Pages 627–649
(Mi smj2559)
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This article is cited in 2 scientific papers (total in 2 papers)
Embedding theorems and a variational problem for functions on a metric measure space
N. N. Romanovskiĭ Sobolev Institute of Mathematics, Novosibirsk, Russia
Abstract:
We use a new method to prove the Sobolev embedding theorem for functions on a metric space and study other questions of the theory of Sobolev spaces on a metric space. We prove the existence and uniqueness of solution to a variational problem.
Keywords:
Sobolev classes, Nikol'skiĭ classes, functions on a metric space, embedding theorems, compactness of the embedding, variational problem.
Received: 06.08.2013
Citation:
N. N. Romanovskiǐ, “Embedding theorems and a variational problem for functions on a metric measure space”, Sibirsk. Mat. Zh., 55:3 (2014), 627–649; Siberian Math. J., 55:3 (2014), 511–529
Linking options:
https://www.mathnet.ru/eng/smj2559 https://www.mathnet.ru/eng/smj/v55/i3/p627
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Statistics & downloads: |
Abstract page: | 312 | Full-text PDF : | 80 | References: | 57 | First page: | 8 |
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