Li, Dan Li, Junfeng Xiao, Jie
Published in
Acta Mathematica Scientia

Given n ≥ 2 and \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\alpha > \tfrac{1}{2}$$\end{document}, we obtained an improved upbound of Hausdorff’s dimension of the f...

Liu, Yongjian Migórski, Stanisław Nguyen, Van Thien Zeng, Shengda
Published in
Acta Mathematica Scientia

The goal of this paper is to study a mathematical model of a nonlinear static frictional contact problem in elasticity with the mixed boundary conditions described by a combination of the Signorini unilateral frictionless contact condition, and nonmonotone multivalued contact, and friction laws of subdifferential form. First, under suitable assumpt...

Nyamoradi, Nemat Razani, Abdolrahman
Published in
Acta Mathematica Scientia

In this paper, we consider the following new Kirchhoff-type equations involving the fractional p-Laplacian and Hardy-Littlewood-Sobolev critical nonlinearity: \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\o...

Le, Phuong
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Acta Mathematica Scientia

Let 0 0 for all s, t ≥ 0. The main technique we use is the method of moving spheres in integral forms. Since our assumptions are more general than those in the previous literature, some new ideas are introduced to overcome this difficulty.

Wang, Qin Song, Kyungwoo
Published in
Acta Mathematica Scientia

We are concerned with the shock diffraction configuration for isothermal gas modeled by the conservation laws of nonlinear wave system. We reformulate the shock diffraction problem into a linear degenerate elliptic equation in a fixed bounded domain. The degeneracy is of Keldysh type—the derivative of a solution blows up at the boundary. We establi...

Chang, Shih-sen Tang, Jinfang Wen, Chingfeng
Published in
Acta Mathematica Scientia

In this article, we propose a new algorithm and prove that the sequence generalized by the algorithm converges strongly to a common element of the set of fixed points for a quasi-pseudo-contractive mapping and a demi-contraction mapping and the set of zeros of monotone inclusion problems on Hadamard manifolds. As applications, we use our results to...

Chen, Yutong Su, Jiabao Sun, Mingzheng Tian, Rushun
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Acta Mathematica Scientia

In this paper, we study the existence of nontrivial solutions to the elliptic system {−Δu=λv+Fu(xuv)x∈Ω−Δv=λu+Fv(xuv)x∈Ωu=v=0x∈∂Ω\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{do...

Ho, Kwok-Pun
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Acta Mathematica Scientia

Boyd’s interpolation theorem for quasilinear operators is generalized in this paper, which gives a generalization for both the Marcinkiewicz interpolation theorem and Boyd’s interpolation theorem. By using this new interpolation theorem, we study the spherical fractional maximal functions and the fractional maximal commutators on rearrangement-inva...

Liang, Feng Han, Maoan Jiang, Chaoyuan
Published in
Acta Mathematica Scientia

In this paper we consider a class of polynomial planar system with two small parameters, ε and λ, satisfying 0

Wang, Jun Yao, Xiao Zhang, Chengchun
Published in
Acta Mathematica Scientia

For entire or meromorphic function f, a value θ ∈ [0, 2π) is called a Julia limiting direction if there is an unbounded sequence {zn} in the Julia set satisfying \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength...