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.
Intrinsic Lipschitz graphs in Heisenberg groups and non linear sub-elliptic PDEs / Pinamonti, Andrea. - (2011), pp. 1-166.
Intrinsic Lipschitz graphs in Heisenberg groups and non linear sub-elliptic PDEs
Pinamonti, Andrea
2011-01-01
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.File in questo prodotto:
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