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math.AP2009
Nonexistence of horizontal Sobolev surfaces in the Heisenberg group
Valentino Magnani
Involutivity is a well known necessary condition for integrability of smooth tangent distributions. We show that this condition is still necessary for integrability with Sobolev su…
math.AP2007
Contact equations, Lipschitz extensions and isoperimetric inequalities
Valentino Magnani
We characterize locally Lipschitz mappings and existence of Lipschitz extensions through a first order nonlinear system of PDEs. We extend this study to graded group-valued Lipschi…