The regularity of solutions to the Lp Gauss image problem

Abstract

The Lp{L}_{p} Gauss image problem amounts to solving a class of Monge-Ampère type equations on the sphere. In this article, we discuss the regularity of solutions to the Lp{L}_{p} Gauss image problem.

Keywords

• lp gauss image measure
• lp gauss image problem
• monge-ampère equation
• regularity of solution
• 35j60
• 52a40
• 52a38