English

Boundary value problems for some fully nonlinear elliptic equations

Differential Geometry 2007-05-23 v1 Analysis of PDEs

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 C2C^2 estimates directly from boundary C0C^0 estimates. In particular, the result is a generalization of the work by Escobar.

Keywords

Cite

@article{arxiv.math/0604080,
  title  = {Boundary value problems for some fully nonlinear elliptic equations},
  author = {Szu-yu Sophie Chen},
  journal= {arXiv preprint arXiv:math/0604080},
  year   = {2007}
}

Comments

16 pages