Hölder continuity of the solutions of some non-linear elliptic systems
✍ Scribed by Sergio Campanato
- Publisher
- Elsevier Science
- Year
- 1983
- Tongue
- English
- Weight
- 894 KB
- Volume
- 48
- Category
- Article
- ISSN
- 0001-8708
No coin nor oath required. For personal study only.
✦ Synopsis
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.
📜 SIMILAR VOLUMES
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For a class of anisotropic quasi-linear elliptic equations with measurable coefficients, following DiBenedetto's intrinsic rescaling method, we prove the Hölder continuity of solutions under the condition for which only local boundedness was known.