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Partial Hölder continuity for solutions of subquadratic elliptic systems in low dimensions

✍ Scribed by Lisa Beck


Book ID
108178383
Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
324 KB
Volume
354
Category
Article
ISSN
0022-247X

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📜 SIMILAR VOLUMES


Everywhere Hölder Continuity of Solution
✍ Yu Mingqi; Liang Xiting 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 195 KB

Consider on G a degenerate elliptic system in diagonal form of which solutions are in a weighted Sobolev space with weight function that belongs to the Muckenhoupt class A A and characteristic values of the leading coefficient matrix that are 2 proportional to a positive power of the modulus of the

Hölder continuity of the solutions of so
✍ Sergio Campanato 📂 Article 📅 1983 🏛 Elsevier Science 🌐 English ⚖ 894 KB

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.