Estimates and existence results for a fully nonlinear Yamabe problem on manifolds with boundary

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Jin, Qinian
Li, Aobing
Li, YanYan

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Springer

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.

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Calculus of Variations and Partial Differential Equations

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2037-12-31