English

Second derivative estimates for uniformly elliptic operators on Riemannian manifolds

Analysis of PDEs 2014-04-22 v1

Abstract

In this paper, we obtain a uniform W2,εW^{2,\varepsilon}-estimate of solutions to the fully nonlinear uniformly elliptic equations on Riemannian manifolds with a lower bound of sectional curvature using the ABP method.

Keywords

Cite

@article{arxiv.1404.5036,
  title  = {Second derivative estimates for uniformly elliptic operators on Riemannian manifolds},
  author = {Soojung Kim},
  journal= {arXiv preprint arXiv:1404.5036},
  year   = {2014}
}

Comments

20 pages