Conformal metrics with prescribed curvature functions on manifolds with boundary

• Autores: Bo Guan
• Localización: American journal of mathematics, ISSN 0002-9327, Vol. 129, Nº 4, 2007, págs. 915-942
• Idioma: inglés
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• Resumen

  • 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.