Liu, Mingsheng Wu, Fen Yang, Yan
Published in
Acta Mathematica Scientia

In this paper, we first establish several sharp inequalities of homogeneous expansion for biholomorphic quasi-convex mappings of type B and order α on the unit ball E in a complex Banach space X by applying the method and technique of complex analysis. Then, as the application of these sharp inequalities, we derive the sharp estimate of third homog...

Skakauskas, Vladas
Published in
Acta Mathematica Scientia

The existence and uniqueness theorem of classical solutions of a coupled system of nonlinear parabolic PDEs arising in modelling of chemical reactions between two polymeric reactants over inhomogeneous surfaces with nonclassical boundary conditions is proved and the long-time behaviour of the solution is studied.

Wang, Ying Wang, Mingxin
Published in
Acta Mathematica Scientia

In this article we consider positive large solution of cooperative systems of the form −Δu1=λ1u1+a1u1u2q1−b1(x)u1p1+1\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$-{\...

Wang, Miaokun Zhang, Wen Chu, Yuming
Published in
Acta Mathematica Scientia

We establish the monotonicity and convexity properties for several special functions involving the generalized elliptic integrals, and present some new analytic inequalities.

Cao, Xiaofei Dai, Guowei
Published in
Acta Mathematica Scientia

We establish the unilateral global bifurcation result for the following nonlinear operator equation u=L(λ)u+H(λ,u),(λ,u)∈Rm×X\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{docume...

Zhang, Zhuhong Chen, Chih-Wei
Published in
Acta Mathematica Scientia

We show that closed shrinking gradient Ricci solitons with positive Ricci curvature and sufficiently pinched Weyl tensor are Einstein. When Weyl tensor vanishes, this has been proved before but our proof here is much simpler.

Huang, Xiantao
Published in
Acta Mathematica Scientia

In this paper, we obtain an estimate for the lower bound for the dimensions of harmonic functions with polynomial growth and a Liouville type theorem on manifolds with nonnegative Ricci curvature whose tangent cone at infinity is a unique metric cone with a conic measure.

Chen, Hua Xu, Huiyang
Published in
Acta Mathematica Scientia

In this paper, we study the initial-boundary value problem for the semilinear parabolic equations ut − ∆Xu = |u|p−1u, where X = (X1, X2, ⋯ , Xm) is a system of real smooth vector fields which satisfy the Hörmander’s condition, and ΔX=∑j=1mXj2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{am...

Wu, Guochun Tan, Zhong Xu, Jiankai
Published in
Acta Mathematica Scientia

We study the heat flow of equation of H-surface with non-zero Dirichlet boundary in the present article. Introducing the “stable set” M2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \b...

Wang, Lixia Wang, Xiaoming Zhang, Luyu
Published in
Acta Mathematica Scientia

In this article, we study the following Klein-Gordon-Maxwell system involving critical exponent (KGM){−Δu+V(x)u−(2ω+ϕ)ϕu=λ∣u∣q−2u+∣u∣4u,x∈R3,−Δϕ+ϕu2=−ωu2,x∈R3,\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\o...