The behaviour of solutions of the Gaussian curvature equation near an isolated boundary point

• Autores: Daniela Kraus, Oliver Roth
• Localización: Mathematical proceedings of the Cambridge Philosophical Society, ISSN 0305-0041, Vol. 145, Nº 3, 2008, págs. 643-667
• Idioma: inglés
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• Resumen

  • A classical result of Nitsche [22] about the behaviour of the solutions to the Liouville equation ?u = 4e2u near isolated singularities is generalized to solutions of the Gaussian curvature equation ?u = -?(z)e2u where ? is a negative Hölder continuous function. As an application a higher-order version of the Yau-Ahlfors-Schwarz lemma for complete conformal Riemannian metrics is obtained.