JournalsjemsVol. 8 , No. 2DOI 10.4171/jems/54

A fully nonlinear version of the Yamabe problem on manifolds with boundary

  • YanYan Li

    Rutgers University, Piscataway, United States
  • Aobing Li

    University of Wisconsin-Madison, Madison City, United States
A fully nonlinear version of the Yamabe problem on manifolds with boundary cover

Abstract

We propose a fully nonlinear version of the Yamabe problem on manifolds with boundary. The boundary condition for the conformal metric is the mean curvature. We establish some Liouville type theorems and Harnack type inequalities.