|
This article is cited in 13 scientific papers (total in 13 papers)
Imbedding theorems and geometric inequalities
V. S. Klimov
Abstract:
Imbedding theorems for Sobolev spaces with a symmetric norm are established. In particular, the results obtained lead to new imbedding theorems for Orlich–Sobolev spaces. The proof of the basic results is based on geometric inequalities of the type of the classical Brunn–Minkovskii inequality.
Bibliography: 30 titles.
Received: 27.02.1975
Citation:
V. S. Klimov, “Imbedding theorems and geometric inequalities”, Math. USSR-Izv., 10:3 (1976), 615–638
Linking options:
https://www.mathnet.ru/eng/im2156https://doi.org/10.1070/IM1976v010n03ABEH001723 https://www.mathnet.ru/eng/im/v40/i3/p645
|
|