Boundary value problems for some fully nonlinear elliptic equations

Abstract

We consider a nonlinear version of the Yamabe problem on locally conformally flat compact manifolds with boundary. The main technique we used is to derive boundary $C^2$ estimates directly from boundary $C^0$ estimates. In particular, the result is a generalization of the work by Escobar.

16 pages

Cited by in corpus (2)

• Estimates and Existence Results for a Fully Nonlinear Yamabe Problem on Manifolds with Boundary
• On existence of the prescribing $k$-curvature of the Einstein tensor