Curvature estimates for -convex hypersurfaces of prescribed curvature
Weisong Dong
Tianjin University China
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Abstract
In this paper, we establish curvature estimates for -convex hypersurfaces in of prescribed curvature with . The existence of a star-shaped hypersurface of prescribed curvature is obtained. We also prove a type of interior estimates for solutions to the Dirichlet problem of the corresponding equation.
Cite this article
Weisong Dong, Curvature estimates for -convex hypersurfaces of prescribed curvature. Rev. Mat. Iberoam. 39 (2023), no. 3, pp. 1039–1058
DOI 10.4171/RMI/1348