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Boundary value problems for some fully nonlinear elliptic equations

Szu-yu Sophie Chen
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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.

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Szu-yu Sophie Chen. 2006-04-04. Boundary value problems for some fully nonlinear elliptic equations. https://arxiv.org/abs/math/0604080

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