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Estimates and existence results for a fully nonlinear Yamabe problem on manifolds with boundary
Authors:Qinian Jin  Aobing Li  YanYan Li
Institution:(1) Department of Mathematics, Rutgers University, 110 Frelinghuysen Rd., Piscataway, NJ 08854, USA;(2) Department of Mathematics, University of Wisconsin, 480 Lincoln Drive, Madison, WI 53706, USA
Abstract:In this paper we consider a fully nonlinear version of the Yamabe problem on compact Riemannian manifold with boundary. Under various conditions we derive local estimates for solutions and establish some existence results. Partially supported by NSF grant DMS-0401118.
Keywords:35J60  53C21
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