title: Some nonlinear elliptic equations from geometry.
abstract: We describe some recent work on certain nonlinear elliptic equations from geometry. These include the problem of prescribing scalar curvature on (n), the Yamabe problem on manifolds with boundary, and the best Sobolev inequality on Riemannian manifolds.
authors.affiliation: Department of Mathematics, Rutgers University, New Brunswick, NJ 08903, USA. yyli@math.rutgers.edu
authors.forename: YanYan
authors.initials: Y
authors.lastname: Li