Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, June 11-16, 2007
PDEs in Conformal Geometry.- Heat Kernels in Sub-Riemannian Settings.- Concentration of Solutions for Some Singularly Perturbed Neumann Problems.- On Some Elliptic Problems in the Study of Selfdual Chern-Simons Vortices.- The k-Hessian Equation.- Minimal Surfaces in CR Geometry.