A Priori Estimates for Starshaped Compact Hypersurfaces with Prescribed mth Curvature Function in Space Forms
Nonlinear Problems in Mathematical Physics and Related Topics I: In Honor of …, 2002•Springer
… We obtain a priori bounds for solutions of the nonlinear second-order elliptic equation of
the geometric problem consisting in finding a compact starshaped hypersurface in a space
form whose mth elementary symmetric function of principal curvatures is a given function. …
(2.6), and let M be a hypersurface in nn+l(1) given as the graph of z over sn. In this section,
we estimate the maximal principal curvature of M. This …
the geometric problem consisting in finding a compact starshaped hypersurface in a space
form whose mth elementary symmetric function of principal curvatures is a given function. …
(2.6), and let M be a hypersurface in nn+l(1) given as the graph of z over sn. In this section,
we estimate the maximal principal curvature of M. This …
Abstract
We obtain a priori bounds for solutions of the nonlinear second-order elliptic equation of the geometric problem consisting in finding a compact starshaped hypersurface in a space form whose mth elementary symmetric function of principal curvatures is a given function.
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