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- W1980021880 abstract "We establish $C^2$ a priori estimate for convex hypersurfaces whose principal curvatures $kappa=(kappa_1,..., kappa_n)$ satisfying Weingarten curvature equation $sigma_k(kappa(X))=f(X,nu(X))$. We also obtain such estimate for admissible 2-convex hypersurfaces in the case $k=2$. Our estimates resolve a longstanding problem in geometric fully nonlinear elliptic equations." @default.
- W1980021880 created "2016-06-24" @default.
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- W1980021880 date "2013-04-26" @default.
- W1980021880 modified "2023-09-29" @default.
- W1980021880 title "Global $C^2$ estimates for convex solutions of curvature equations" @default.
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- W1980021880 doi "https://doi.org/10.48550/arxiv.1304.7062" @default.
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