Intrinsic Regular Graphs in Heisenberg Groups Vs . Weak Solutions of Non Linear First-order Pde

@inproceedings{Cassano2009IntrinsicRG,
  title={Intrinsic Regular Graphs in Heisenberg Groups Vs . Weak Solutions of Non Linear First-order Pde},
  author={Francesco Serra Cassano},
  year={2009}
}
We continue to study Hregular graphs, a class of intrinsic regular hypersurfaces in the Heisenberg group H = C × R ≡ R endowed with a leftinvariant metric d∞ equivalent to its CarnotCarathéodory metric. Here we investigate their relationships with suitable weak solutions of nonlinear firstorder PDEs. As a consequence this implies some of their geometric properties: a uniqueness result for Hregular graphs of prescribed horizontal normal as well as their (Euclidean) regularity as long as there is… CONTINUE READING