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Hölder continuity for quasilinear subelliptic equations in Carnot Carathéodory spaces

✍ Scribed by Giuseppe Di Fazio; Pietro Zamboni


Publisher
John Wiley and Sons
Year
2004
Tongue
English
Weight
138 KB
Volume
272
Category
Article
ISSN
0025-584X

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✦ Synopsis


Abstract

In this note we prove the Harnack inequality and the Hölder continuity for weak solutions of quasilinear subelliptic equation of the form

where u belongs to Sobolev spaces with respect to a system of locally Lipschitz vector fields. (© 2004 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)