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K-Hessian方程的一个Liouville型结果

2020-10-21叶晓芳马琼华阿迪拉·阿布都热依木

科技风 2020年6期
关键词:項目标识码参考文献

叶晓芳 马琼华 阿迪拉·阿布都热依木

摘 要:本文研究了一类非线性椭圆Hessian方程σkuij+uδij=uα,得到k=n时的一个Liouville型结果。

关键词:Liouville型结果;允许解;Hessian方程

中图分类号:O175.25文献标识码:A

参考文献:

[1]Fei Han,Some Liouville Type Results of Hessian Equations[J].Sci.Chi-na Math,2011(10),2081-2086.

[2]Firey W.p-means of convex bodies[J].Math Scand,1962,10:17-24.

[3]Guan P,Ma X N.Christoff el-Minkowski problem I:Convexity of sol-utions of a Hes-sian equations[J].Invent Math,2003,151:553-577.

[4]Schneider R.Convex Bodies:Brunn-Minkowski Theory[J].Cambridge:Cambridge University Press,1993.

[5]Qianzhong Ou,Lu Xu.Liouville type results of curvature operators of Fuchsian convex surfaces[J].Journal of Mathematical Analysis and Applications,2016,434(2),1435-1441.

[6]D.Geller,Liouvilles theorem for homogeneous groups[J].Comm.P.D.E,1983(15),1665-1677.

[7]X.B.Luo,Liouvilles theorem for homogeneous differential operators[J].Comm.P.D.E,22(1997),1837-1848.

[8]I.Birindelli,I.Capuzzo Dolcetta,A.Cutri,Liouville theorems for se-milinear equations on the Heisenberg Group[J].Ann.Inset.Henri Poincare,1997(14),295-308.

基金項目:新疆师范大学重点实验室(XJNUSYS082018A02)

作者简介:叶晓芳(1994-),女,新疆木垒人,硕士研究生,研究方向:几何分析。

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