葉曉芳 馬瓊?cè)A 阿迪拉·阿布都熱依木
摘?要:本文研究了一類非線性橢圓Hessian方程σkuij+uδij=uα,得到k=n時(shí)的一個(gè)Liouville型結(jié)果。
關(guān)鍵詞:Liouville型結(jié)果;允許解;Hessian方程
中圖分類號:O175.25文獻(xiàn)標(biāo)識碼:A
參考文獻(xiàn):
[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(xiàng)目:新疆師范大學(xué)重點(diǎn)實(shí)驗(yàn)室(XJNUSYS082018A02)
作者簡介:葉曉芳(1994-),女,新疆木壘人,碩士研究生,研究方向:幾何分析。