Trudinger, Neil2015-12-071435-9855http://hdl.handle.net/1885/27691In conjunction with applications to optimal transportation and conformal geometry, there has been considerable research activity in recent years devoted to fully nonlinear, elliptic second order partial differential equations of a particular form, given bKeywords: Conformal geometry; Elliptic partial differential equation; Matrix functions; Optimal transportations; Research activities; Riemannian manifold; Second derivatives; Second-order partial differential equation; Deformation; Optimization; Partial differentia Conformal deformation; Fully nonlinear elliptic partial differential equations; Monge-Ampre type; Optimal transportation20062016-02-24