Boundary value problems for some fully nonlinear elliptic equations

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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

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Differential Geometry, Analysis of PDEs

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http://salesiana.dossiersoluciones.com/handle/123456789/111444

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0604080
 http://arxiv.org/abs/math/0604080

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arXiv