Calculus of Variations and Geometric Measure Theory
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Z. Balogh - J. Tyson

Potential theory in Carnot groups

created on 11 Apr 2003
modified on 27 Apr 2004

[BibTeX]

Published Paper

Inserted: 11 apr 2003
Last Updated: 27 apr 2004

Journal: AMS Series in Contemporary Mathematics
Volume: 320
Pages: 15-27
Year: 2003

Abstract:

In this survey we present a collection of recent results and open problems in potential theory related to the $p$-Laplacian in connection with Sobolev and Moser -- Trudinger inequalities on Carnot groups.

Keywords: Carnot groups, p-Laplacian, Sobolev inequalities, Fundamental solutions


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