Как распознать постоянные функции. Связь с пространствами Соболева@@@How to recognize constant functions. Connections with Sobolev spaces

By Х Брезис, Haim Brezis. 2002

54 citations recorded by the source corpus.

Subfields: Applied Mathematics

View Paper: https://www.semanticscholar.org/paper/d7753fd3164d2b7ac72d785a47449d2ba95199e9

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In Applied Mathematics

1. Hoai-Minh Nguyen
2. Nicola Gigli

Citations in the corpus

• Some new characterizations of Sobolev spaces (2006, background): “(c) Moreover, for any g ∈ W 1,p(RN), lim δ→0 ∫ RN ∫ RN |g(x)−g(y)|>δ δ |x − y|N+p dx dy = 1 p KN,p ∫ RN ∣∣∇g(x)∣∣p dx, (3)”