Curvature estimates for p-convex hypersurfaces of prescribed curvature

• Weisong Dong ^[1]
  1. [1] Tianjin University

     Tianjin University

     China

     
• Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 39, Nº 3, 2023, págs. 1039-1058
• Idioma: inglés
• DOI: 10.4171/RMI/1348
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• Resumen

  • In this paper, we establish curvature estimates for p-convex hypersurfaces in RnC1 of prescribed curvature with p n=2. The existence of a star-shaped hypersurface of prescribed curvature is obtained. We also prove a type of interior C 2 estimates for solutions to the Dirichlet problem of the corresponding equation