Shehu, Yekini
Published in
Acta Mathematica Scientia

We study the single projection algorithm of Tseng for solving a variational inequality problem in a 2-uniformly convex Banach space. The underline cost function of the variational inequality is assumed to be monotone and Lipschitz continuous. A weak convergence result is obtained under reasonable assumptions on the variable step-sizes. We also give...

Zhao, Wenqiang Zhang, Yijin
Published in
Acta Mathematica Scientia

In this paper, we develop the criterion on the upper semi-continuity of random attractors by a weak-to-weak limit replacing the usual norm-to-norm limit. As an application, we obtain the convergence of random attractors for non-autonomous stochastic reaction-diffusion equations on unbounded domains, when the density of stochastic noises approaches ...

Wang, Shu Jiang, Limin
Published in
Acta Mathematica Scientia

In this article we study quasi-neutral limit and the initial layer problem of the drift-diffusion model. Different from others studies, we consider the physical case that the mobilities of the charges are different. The quasi-neutral limit with an initial layer structure is rigorously proved by using the weighted energy method coupled with multi-sc...

Papageorgiou, Nikolaos S. Vetro, Calogero Vetro, Francesca
Published in
Acta Mathematica Scientia

We consider a Neumann problem driven by the (p, q)-Laplacian under the Landesman-Lazer type condition. Using the classical saddle point theorem and other classical results of the calculus of variations, we show that the problem has at least one nontrivial weak solution.

Liao, Yongkai
Published in
Acta Mathematica Scientia

This paper is concerned with the large-time behavior of solutions to the Cauchy problem of a one-dimensional viscous radiative and reactive gas. Based on the elaborate energy estimates, we develop a new approach to derive the upper bound of the absolute temperature by avoiding the use of auxiliary functions Z(t) and W(t) introduced by Liao and Zhao...

Li, Zongguang Liu, Rui
Published in
Acta Mathematica Scientia

In this article, we study the blow-up solutions for a case of b-family equations. Using the qualitative theory of differential equations and the bifurcation method of dynamical systems, we obtain five types of blow-up solutions: the hyperbolic blow-up solution, the fractional blow-up solution, the trigonometric blow-up solution, the first elliptic ...

Huang, Wentao Wang, Li
Published in
Acta Mathematica Scientia

We study the following nonlinear fractional Schrödinger-Poisson system with critical growth: (0.1){(−Δ)su+u+ϕu=f(u)+|u|2s*−2u,x∈ℝ3,(−Δ)tϕ=u2,x∈ℝ3,\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}...

Chen, Wei Wang, Qiong
Published in
Acta Mathematica Scientia

This article investigates the algebraic differential independence concerning the Euler Γ-function and the function F in a certain class F\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \...

Chen, Yajie Xing, Chuanzhi Zhang, Xiao
Published in
Acta Mathematica Scientia

In this paper we consider one dimensional mean-field backward stochastic differential equations (BSDEs) under weak assumptions on the coefficient. Unlike [3], the generator of our mean-field BSDEs depends not only on the solution (Y, Z) but also on the law PY of Y. The first part of the paper is devoted to the existence and uniqueness of solutions ...

Du, Yao Tang, Chunlei
Published in
Acta Mathematica Scientia

We consider the Schrödinger-Poisson system with nonlinear term Q(x)|u|p−1u, where the value of lim|x|→∞Q(x)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathop {\lim...