References
[A] L. Ahlfors,Complex Analysis, McGraw-Hill, 1966
[B] C. Bandle,Isoperimetric Inequalities and Applications, Pittman, 1980.
[BF] T. Bonnesen and W. Fenchel,Theorie und Konvexen Korper, Berlin, 1934.
[BU] H. BusemannConvex Surfaces, Interscience, 1958.
[CNS] L. Caffarelli, L. Nirenberg and J. Spruck,The Dirichlet problem for nonlinear second order elliptic equations, III: Functions of the eigenvalues of the Hessian, Acta Math.155 (1985), 261–301.
[CY] S. Y. Cheng and S. T. YauOn the regularity of the Monge-Ampère equation det\(\bar V^2 u = F(x,u)\), Commun. Pure Appl. Math.30 (1977), 41–68.
[R1] R. C. Reilly,Variational properties of functions of the mean curvatures for hypersurfaces in space forms, J. Differ. Geom.8 (1973), 465–477.
[R 2] R. C. Reilly,On the Hessian of a function and the curvatures of its graph, Michigan Math. J.20 (1973–74), 373–383.
[T] G. Talenti,Some estimates of solutions to Monge-Ampère type equations in dimension two, Ann. Mat. Scuola Norm. Sup. Pisa8, ser. 4 (1981), 183–230.
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Tso, K. On symmetrization and Hessian equations. J. Anal. Math. 52, 94–106 (1981). https://doi.org/10.1007/BF02820473
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DOI: https://doi.org/10.1007/BF02820473