Abstract

We establish sharp capacitary estimates for Carnot-Carathéodory rings associated to a system of vector fields of Hörmander type. Such estimates are instrumental to the study of the local behavior of singular solutions of a wide class of nonlinear subelliptic equations. One of the main results is a generalization of fundamental estimates obtained independently by Sanchez-Calle and Nagel, Stein and Wainger.

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Additional Information

ISSN
1080-6377
Print ISSN
0002-9327
Pages
pp. 1153-1196
Launched on MUSE
1996-12-01
Open Access
No
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