Published in Acta Mathematica Scientia
The author proves that if f:ℂ→ℂn is a transcendental vector valued meromorphic function of finite order and assume ∑a∈ℂn∪∪{∞}δ(a)=2, then, 1-δ(∞)2-δ(∞)≤K(f′)≤2(1-δ(∞))2-δ(∞), where K(f′)=lim supr→+∞N(r, f′)+N(r, 0, f′)T(r, f′). This result extends the related results for meromorphic function by Singh and Kulkarni.
Published in Acta Mathematica Scientia
Let K be a nonempty, closed and convex subset of a real reflexive Banach space E which has a uniformly Gâteaux differentiable norm. Assume that every nonempty closed convex and bounded subset of K has the fixed point property for nonexpansive mappings. Strong convergence theorems for approximation of a fixed point of Lipschitz pseudo-contractive ma...
Published in Acta Mathematica Scientia
In this article, we consider a class of degenerate quasilinear elliptic problems with weights and nonlinearity involving the critical Hardy-Sobolev exponent and one sign-changing function. The existence and multiplicity results of positive solutions are obtained by variational methods.
Published in Acta Mathematica Scientia
In this article, the relationship between the Borel direction of algebroidal function and its coefficient functions is studied for the first time. To begin with, several theorems of algebroidal functions in unit disk are proved. By these theorems, some interesting conclusions are obtained.
Published in Acta Mathematica Scientia
Published in Acta Mathematica Scientia
Published in Acta Mathematica Scientia
Published in Acta Mathematica Scientia
Published in Acta Mathematica Scientia
In this article, we discuss some properties of a supersymmetric invariant bilinear form on Lie supertriple systems. In particular, a supersymmetric invariant bilinear form on Lie supertriple systems can be extended to its standard imbedding Lie superalgebras. Furthermore, we generalize Garland's theory of universal central extensions for Lie supert...
Published in Acta Mathematica Scientia
3-Lie algebras have close relationships with many important fields in mathematics and mathematical physics. This article concerns 3-Lie algebras. The concepts of 3-Lie coalgebras and 3-Lie bialgebras are given. The structures of such categories of algebras and the relationships with 3-Lie algebras are studied. And the classification of 4-dimensiona...
