摘要
Under the mild conditions, it is proved that the convex su rf ace is global C 1,1 , with the given Gaussian curvature 0≤K∈C ∞ 0 a nd the given boundary curve. Examples are given to show that the regularity is o ptimal.
Under the mild conditions, it is proved that the convex su rf ace is global C 1,1 , with the given Gaussian curvature 0≤K∈C ∞ 0 a nd the given boundary curve. Examples are given to show that the regularity is o ptimal.
基金
ProjectsupportedbytheDoctoralFundsofChinaandtheNationalNaturalScienceFoundationofChina (GrantNo .197710 0 9) .