Minimality in CR geometry and the CR Yamabe problem on CR manifolds with   boundary
  We study the minimality of an isometric immersion of a Riemannian manifold into a strictly pseudoconvex CR manifold endowed with the Webster metric hence formulate a version of the CR Yamabe problem for CR manifolds-with-boundary. This is shown to be a nonlinear subelliptic problem of variational origin. 
Sorin Dragomir