A class of curvature type equation
Pengfei Guan, Xiangwen Zhang
Abstract
In this paper, we study the solvability of a general class of fully nonlinear curvature equations, which can be viewed as generalizations of the equations for Christoffel-Minkowski problem in convex geometry. We will also study the Dirichlet problem of the corresponding degenerate equations as an extension of the equations studied by Krylov.
Topics & Concepts
MathematicsCurvatureClass (philosophy)Type (biology)Mathematical analysisPure mathematicsGeometryGeologyPaleontologyComputer scienceArtificial intelligenceDifferential Equations and Boundary ProblemsAdvanced Mathematical Modeling in EngineeringDifferential Equations and Numerical Methods