This paper considers a semilinear elliptic equation on a n-dimensional complete noncompact R.iemannian manifold, which is a generalization of the well known Yamabe equation. An existence result is proved.
Let ω1 and ω 2 be two homogeneous words and suppose that they respectively define the varieties Vω 1 and Vω2 of groups. Denote by θωi the standard exponent of ωi for i =1, 2, which was introduced in Ref. [1]. W...Let ω1 and ω 2 be two homogeneous words and suppose that they respectively define the varieties Vω 1 and Vω2 of groups. Denote by θωi the standard exponent of ωi for i =1, 2, which was introduced in Ref. [1]. We obtain that if Vω1 lohtian Vω2, then ω1θ｜θ ω2.展开更多
文摘This paper considers a semilinear elliptic equation on a n-dimensional complete noncompact R.iemannian manifold, which is a generalization of the well known Yamabe equation. An existence result is proved.
基金the Scientific Research Foundation for the Returned Oversears Chinese Scholars,Shanxi Province
文摘Let ω1 and ω 2 be two homogeneous words and suppose that they respectively define the varieties Vω 1 and Vω2 of groups. Denote by θωi the standard exponent of ωi for i =1, 2, which was introduced in Ref. [1]. We obtain that if Vω1 lohtian Vω2, then ω1θ｜θ ω2.
