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Intrinsic Lipschitz graphs in Heisenberg groups and non linear sub-elliptic PDEs

In this thesis we study intrinsic Lipschitz functions. In particular we provide a regular approximation result and a Poincarè type inequality for this class of functions. Moreover we study the obstacle problem in the Heisenberg group and we prove a geometric Poincarè inequality for a class of semilinear equations in the Engel group.

Identiferoai:union.ndltd.org:unitn.it/oai:iris.unitn.it:11572/368451
Date January 2011
CreatorsPinamonti, Andrea
ContributorsPinamonti, Andrea, Serra Cassano, Francesco
PublisherUniversità degli studi di Trento, place:TRENTO
Source SetsUniversità di Trento
LanguageEnglish
Detected LanguageEnglish
Typeinfo:eu-repo/semantics/doctoralThesis
Rightsinfo:eu-repo/semantics/openAccess
Relationfirstpage:1, lastpage:166, numberofpages:166

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