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.
|Original language||English (US)|
|Number of pages||44|
|Journal||American Journal of Mathematics|
|State||Published - Dec 1996|
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