English

A degree theory for second order nonlinear elliptic operators with nonlinear oblique boundary conditions

Analysis of PDEs 2015-09-09 v1

Abstract

In this paper we introduce an integer-valued degree for second order fully nonlinear elliptic operators with nonlinear oblique boundary conditions. We also give some applications to the existence of solutions of certain nonlinear elliptic equations arising from a Yamabe problem with boundary and reflector problems.

Keywords

Cite

@article{arxiv.1509.02331,
  title  = {A degree theory for second order nonlinear elliptic operators with nonlinear oblique boundary conditions},
  author = {Yanyan Li and Jiakun Liu and Luc Nguyen},
  journal= {arXiv preprint arXiv:1509.02331},
  year   = {2015}
}