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...

Chakkour, Tarik
Published in
Acta Mathematica Scientia

In this work, we study the inverse problem stability of the continuous-in-time model which is designed to be used for the finances of public institutions. We discuss this study with determining the Loan measure from algebraic spending measure in Radon measure space M([tI,Θmax])\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} ...

Jian, Wenwen Shi, Yunfeng
Published in
Acta Mathematica Scientia

In this article, the non-self dual extended Harper’s model with a Liouville frequency is considered. It is shown that the corresponding integrated density of states is 12\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \s...

Wang, Yuanyuan Wang, Xingxing Zeng, Chunna
Published in
Acta Mathematica Scientia

In this paper, we investigate the translative containment measure for a convex domain Ki to contain, or to be contained in the homothetic copy of another convex domain tKj (t ≥ 0). Via the formulas of translative Blaschke and Poincaré in integral formula, we obtain a Bonnesen-style symmetric mixed isohomothetic inequality. The Bonnesen-style symmet...

Wang, Yuejiao Liu, Zaiming Liu, Quansheng Li, Yingqiu
Published in
Acta Mathematica Scientia

We consider a branching random walk in an independent and identically distributed random environment ξ = (ξn) indexed by the time. Let W be the limit of the martingale Wn=∫e−txZn(dx)/Eξ∫e−txZn(dx)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsf...

Dai, Shaoyu Chen, Huaihui
Published in
Acta Mathematica Scientia

We establish a precise Schwarz lemma for real-valued and bounded harmonic functions in the real unit ball of dimension n. This extends Chen’s Schwarz-Pick lemma for real-valued and bounded planar harmonic mapping.

Chen, Lüping
Published in
Acta Mathematica Scientia

This work deals with approximation solutions to a type of integro-differential equations in several complex variables. It concerns the Cauchy formula on higher dimensional domains. In our study, we make use of multiple power series expansions and an iterative computation method to solve a kind of integro-differential equation. We introduce a symmet...

Tao, Wenyu Chen, Yanping Li, Jili
Published in
Acta Mathematica Scientia

Let L = −div(A∇) be a second order divergence form elliptic operator, where A is an accretive, n×n matrix with bounded measurable complex coefficients on ℝn. Let Lα2(0

Yan, Cheng
Published in
Acta Mathematica Scientia

Let G be a discrete group with a weight w on it. For p > 1, we define a class of generalized Figà-Talamanca-Herz algebras Ap\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{documen...