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arxiv: 1010.6115 · v3 · pith:EPZJLE5Unew · submitted 2010-10-29 · 🧮 math.DG · math.AP

Local estimates for elliptic equations arising in conformal geometry

classification 🧮 math.DG math.AP
keywords ellipticequationsestimateslocalarisingassociatedboundariesconformal
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In this paper we consider Yamabe type problem for higher order curvatures on manifolds with totally geodesic boundaries. We prove local gradient and second derivative estimates for solutions to the fully nonlinear elliptic equations associated with the problems.

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