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Capacitary estimates and the local behavior of solutions of nonlinear subelliptic equations
- American Journal of Mathematics
- Johns Hopkins University Press
- Volume 118, Number 6, December 1996
- pp. 1153-1196
- 10.1353/ajm.1996.0046
- Article
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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.