Contradiction argument in the study of convexity for a special case of Hessian equation in the ball

Author:

Lin Xiaomin,Ye Yunhua

Abstract

Abstract The convexity is intimately related to geometric properties of solutions to partial differential equations. In this paper, the contradiction argument is used to study some convexity properties for the solutions of a special type of Hessian equation in the unit ball. It reveals that some power of the solution is strictly convex in the ball.

Publisher

IOP Publishing

Subject

General Physics and Astronomy

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