This issuePrevious ArticleWeighted Sobolev embeddings and radial solutions of
inhomogeneous quasilinear elliptic equationsNext ArticleNonlinear parabolic equations with a lower order term and $L^1$ data
Finite difference approximation of the Mumford and Shah functional in a contact manifold of the
Heisenberg space
The functionality of the visual cortex has been described in [63]
and in [50] as a contact manifold of dimension three and in [62] the Mumford
and Shah functional has been proposed to segment lifting of an image in the
three dimensional cortical space. Hence, we study here this functional and
we provide a constructive approach to the problem, extending to the sub-
Riemannian setting an approximation technique proposed by De Giorgi in the
Euclidean case.