Topological and geometrical properties of mappings with summable Jacobian in Sobolev classes. I.
Differentiability of mappings in the geometry of Carnot manifolds.
Sobolev classes of mappings on a Carnot-Carathéodory space: various norms and variational problems.
Nonlinear potential theory for Sobolev spaces on Carnot groups.
Whitney-type theorems on extension of functions on Carnot groups.
Traces of Sobolev functions on the Ahlfors sets of Carnot groups.
Differentiability of the mappings of Carnot-Carathéodory spaces in the Sobolev and -topologies.
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