Pinamonti, Andrea (2011) Intrinsic Lipschitz graphs in Heisenberg groups and non linear sub-elliptic PDEs. PhD thesis, University of Trento.
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| PDF - Doctoral Thesis 994Kb |
Abstract
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.
| Item Type: | Doctoral Thesis (PhD) |
|---|---|
| Doctoral School: | Mathematics |
| PhD Cycle: | XXIV |
| Subjects: | Area 01 - Scienze matematiche e informatiche > MAT/05 ANALISI MATEMATICA |
| Repository Staff approval on: | 03 Jan 2012 12:25 |
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