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51.Introducti0nandMainResultlnthepaperL1J,Caffarelli,NirenbergandSpruckdiscussedtheDirichletproblemforthenonlinearellipticequationforunknownu=u(x):{':<;;>:,<";>:are,vxeD,(1-1)where0lsab0undedstrictlyconvexdomaininR"withsmoothboundaryare,K(u)=(K,(u),Kz(u),..',K"(u))denotestheprincipalcurvaturesofthegraph(x,u(x))andfisofaspecialnatureasinL2J'L3j.Typicalcasesoftheequationin(1.l),whichweretreatedaswellbyIvochkina[4J,isf=Sl/*(K),whereS*(K)arethee1ementarysymmetricfunctions,Recently,Ivochki… 相似文献
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L. Herná ndez Encinas J. Muñ oz Masqué 《Proceedings of the American Mathematical Society》2004,132(7):2127-2132
A classical result by J. W. Milnor states that the total curvature of a closed curve in the Euclidean -space is the limit of the total curvatures of polygons inscribed in . In the present paper a similar geometric interpretation is given for all total curvatures , .
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Hilario Alencar Manfredo do Carmo Harold Rosenberg 《Annals of Global Analysis and Geometry》1993,11(4):387-395
We generalize Reilly's inequality for the first eigenvalue of immersed submanifolds ofIR
m
+1 and the total (squared) mean curvature, to hypersurfaces ofIR
m
+1 and the first eigenvalue of the higher order curvatures. We apply this to stability problems. We also consider hypersurfaces in hyperbolic space. 相似文献
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该文基于Laplace逼近建立了非线性再生散度随机效应模型在Euclid空间中的几何结构, 并在此基础上研究了此模型参数和子集参数的置信域, 进一步推广和发展了 Hamilton, Watts 和 Bates[1]关于正态非线性回归模型, Wei[2,3]关于嵌入模型和指数族非线性模型, Zhu, Tang 和 Wei[4]关于半参数非线性模型,唐年胜、韦博成和王学仁[5]关于非线性再生散度模型, Tang 和 Wang[6]关于拟似然非线性模型等的结果. 相似文献
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