The regularity of the surface of the Gauss curvature 0≤K ∈ C
0
∞ |
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| Authors: | Jiguang Bao |
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| Institution: | (1) School of Mathematical Sciences, Pcking University, 100871 Beijing, China;(2) Department of Mathematics, Beijing Normal University, 100875 Beijing, China |
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| Abstract: | Under the mild conditions, it is proved that the convex surface is global C1.1, with the given Gaussian curvature 0≤K ∈ C
0
∞
and the given boundary curve. Examples are given to show that the regularity is optimal.
Project supported by the Doctoral Funds of China and the National Natural Science Foundation of China (Grant No. 19771009). |
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| Keywords: | nonnegative curvature degenerate elliptic equation any boundary data global C1 1 regularity |
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