| Hong Jiaxing.[J].数学年刊A辑,1999,20(2):123~136 |
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| DARBOUX EQUATIONS AND ISOMETRIC EMBEDDING OF RIEMANNIANMANIFOLDS WITH NONNEGATIVE CURVATURE IN {\tf R}$^{^{\hbox{\td 3}}}$ |
| Received:March 02, 1999 |
| DOI： |
| 中文关键词: |
| 英文关键词:Darboux equation, Isometric embedding, Riemannian
manifold, Nonnegative curvature |
| 基金项目: |
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| 中文摘要: |
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| 英文摘要: |
| The present paper is concerned with the existence of golbal smooth solutions for the homogeneous Dirichlet boundary value problem of the Darboux equation and the case degenerate
on the boundary is contained. As some applications the smooth isometric embeddings of positively and nonnegatively curved disks into $R^3$ are constructed. |
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