Prescribed $L_p$ curvature problem

Abstract

In this paper, we establish the existence of smooth, origin-symmetric, strictly convex solutions to the prescribed even $L_p$ curvature problem.

arXiv commentto appear in Advances in Mathematics

References in corpus (8)

• The Logarithmic Minkowski Problem
• Hypersurfaces of Prescribed Curvature Measure
• The $L_p$-Minkowski problem for $-n<p<1$
• A unified flow approach to smooth, even $L_p$-Minkowski problems
• Uniqueness of solutions to a class of isotropic curvature problems
• Parabolic approaches to curvature equations
• Christoffel-Minkowski flows
• Constant rank theorems for curvature problems via a viscosity approach