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An alternative approach to the Hölder continuity of solutions to some elliptic equations

✍ Scribed by Düzgün, Fatma Gamze; Marcellini, Paolo; Vespri, Vincenzo

Book ID
121461677
Publisher
Elsevier Science
Year
2014
Tongue
English
Weight
403 KB
Volume
94
Category
Article
ISSN
0362-546X

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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.