Boundary value problems for some fully nonlinear elliptic equations

Details Boundary value problems for some fully nonlinear elliptic equations Boundary value problems for some fully nonlinear elliptic equations

2006-04-04

arxiv.org/abs/math/0604080v1

Mathematics

Differential Geometry

16 pages

Scientific paper

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.

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