A fully nonlinear version of the Yamabe problem on locally conformally flat manifolds with umbilic boundary

Abstract

In this paper we establish existence and compactness of solutions to a general fully nonlinear version of the Yamabe problem on locally conformally flat Riemannian manifolds with umbilic boundary.

References in corpus (3)

• Estimates and Existence Results for some Fully Nonlinear Elliptic Equations on Riemannian Manifolds
• An existence theorem for the Yamabe problem on manifolds with boundary
• Local gradient estimates of solutions to some conformally invariant fully nonlinear equations