CONFORMAL METRICS WITH PRESCRIBED CURVATURE FUNCTIONS ON MANIFOLDS WITH BOUNDARY By BO GUAN Dedicated to Professor Joel Spruck on the occasion of his 60th birthday
نویسنده
چکیده
We study the Dirichlet problem for a class of fully nonlinear elliptic equations related to conformal deformations of metrics on Riemannian manifolds with boundary. As a consequence we prove the existence of a conformal metric, given its value on the boundary as a prescribed metric conformal to the (induced) background metric, with a prescribed curvature function of the Schouten tensor.
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