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

YanYan Li; Aobing Li

doi:10.4171/jems/54

JournalsjemsVol. 8, No. 2pp. 295–316

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
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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.

Cite this article

YanYan Li, Aobing Li, A fully nonlinear version of the Yamabe problem on manifolds with boundary. J. Eur. Math. Soc. 8 (2006), no. 2, pp. 295–316

DOI 10.4171/JEMS/54