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Exactness of the cordes condition of the Hölder property for the gradient of nondivergent elliptic systems

✍ Scribed by E. A. Kalita

Book ID: 112471135
Publisher: Springer
Year: 1995
Tongue: English
Weight: 151 KB
Volume: 47
Category: Article
ISSN: 0041-5995
DOI: 10.1007/bf01056725

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If q > n. by Sobolev's theorem, H".\*(O, RN) c Cm-'-'(Q, R") with k = 1 -n/q. ' Note that q t 2 < 4/(2 -9) and so. if 1 < q < 2 and (1.12) holds. condition (1.7) is of course fulfilled.