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, 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 ...

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} \...

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...

Tan, Yang Kong, Yinying
Published in
Acta Mathematica Scientia

In this article, we discuss, by Nevanlinna theory, the influence of multiple values and deficiencies on the uniqueness problem of algebroid functions. We get several uniqueness theorems of algebroid functions which include an at most 3v-valued theorem. These results extend the existing achievements of some scholars.

Cheng, Lizheng Wang, Bo Xie, Ziqing
Published in
Acta Mathematica Scientia

In this article, we investigate a stochastic Galerkin method for the Maxwell equations with random inputs. The generalized Polynomial Chaos (gPC) expansion technique is used to obtain a deterministic system of the gPC expansion coefficients. The regularity of the solution with respect to the random is analyzed. On the basis of the regularity result...

Khodaei, Hamid El-Fassi, Iz-iddine Hayati, Bahman
Published in
Acta Mathematica Scientia

We discuss the set-valued dynamics related to the theory of functional equations. We look for selections of convex set-valued functions satisfying set-valued Euler-Lagrange inclusions. We improve and extend upon some of the results in [13, 20], but under weaker assumptions. Some applications of our results are also provided.