Elements | 2019
Nonlinear Partial Differential Equations Arising from Prescribed Curvature Problems
Abstract
We consider two prominent nonlinear partial differential equations linked to the prescribed curvature problems , namely, the Minkowski problem and Kazdan -Warner /Nirenberg problem ( prescribed scalar curvature problem ) . This article addresses some of the modern techniques in analysis used to draw out a number of the profound features in these equations.