Capacitary estimates and the local behavior of solutions of nonlinear subelliptic equations

Luca Capogna, Donatella Danielli, Nicola Garofalo

Research output: Contribution to journalArticlepeer-review

82 Scopus citations

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.

Original languageEnglish (US)
Pages (from-to)1153-1196
Number of pages44
JournalAmerican Journal of Mathematics
Volume118
Issue number6
StatePublished - Dec 1996
Externally publishedYes

ASJC Scopus subject areas

  • Mathematics(all)

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