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Acta Mathematica Scientia

Subject Areas: Mathematics (miscellaneous)
Publisher: Springer Nature Singapore - Springer Journals
ISSN: 0252-9602
SJR: 36

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Journal Article

Constant Distance Boundaries of the t-Quasicircle and the Koch Snowflake Curve

Wei, Xin; Wen, Zhi-Ying

2023 Acta Mathematica Scientia

doi:10.1007/s10473-023-0301-6

Let Γ be a Jordan curve in the complex plane and let Γλ be the constant distance boundary of Γ. Vellis and Wu [10] introduced the notion of a (ζ, r0)-chordal property which guarantees that, when λ is not too large, Γλ is a Jordan curve when ζ = 1/2 and Γλ is a quasicircle when 0 < ζ < 1/2. We...
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Journal Article

Randers Spaces with Scalar Flag Curvature

Li, Jintang

2023 Acta Mathematica Scientia

doi:10.1007/s10473-023-0302-5

Let (M, F) be an n-dimensional Randers space with scalar flag curvature. In this paper, we will introduce the definition of a weak Einstein manifold. We can prove that if (M, F) is a weak Einstein manifold, then the flag curvature is constant.
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Journal Article

Stability Conditions and the Mirror Symmetry of K3 Surfaces in Attractor Backgrounds

Lu, Wenxuan

2023 Acta Mathematica Scientia

doi:10.1007/s10473-023-0303-4

We study the space of stability conditions on K3 surfaces from the perspective of mirror symmetry. This is done in the attractor backgrounds (moduli). We find certain highly non-generic behaviors of marginal stability walls (a key notion in the study of wall crossings) in the space of stability...
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Journal Article

Singular Double Phase Equations

Liu, Zhenhai; Papageorgiou, Nikolaos S.

2023 Acta Mathematica Scientia

doi:10.1007/s10473-023-0304-3

We study a double phase Dirichlet problem with a reaction that has a parametric singular term. Using the Nehari manifold method, we show that for all small values of the parameter, the problem has at least two positive, energy minimizing solutions.
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Journal Article

The Sasa-Satsuma Equation on a Non-Zero Background: The Inverse Scattering Transform and Multi-Soliton Solutions

Wen, Lili; Fan, Engui; Chen, Yong

2023 Acta Mathematica Scientia

doi:10.1007/s10473-023-0305-2

We concentrate on the inverse scattering transformation for the Sasa-Satsuma equation with 3 × 3 matrix spectrum problem and a nonzero boundary condition. To circumvent the multi-value of eigenvalues, we introduce a suitable two-sheet Riemann surface to map the original spectral parameter k into...
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Journal Article

On the Rigorous Mathematical Derivation for the Viscous Primitive Equations with Density Stratification

Pu, Xueke; Zhou, Wenli

2023 Acta Mathematica Scientia

doi:10.1007/s10473-023-0306-1

In this paper, we rigorously derive the governing equations describing the motion of a stable stratified fluid, from the mathematical point of view. In particular, we prove that the scaled Boussinesq equations strongly converge to the viscous primitive equations with density stratification as the...
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Journal Article

Real Paley-Wiener Theorems for the Space-Time Fourier Transform

El Haoui, Youssef; Zayed, Mohra

2023 Acta Mathematica Scientia

doi:10.1007/s10473-023-0307-0

This paper presents an extension of certain forms of the real Paley-Wiener theorems to the Minkowski space-time algebra. Our emphasis is dedicated to determining the space-time valued functions whose space-time Fourier transforms (SFT) have compact support using the partial derivatives operator...
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Journal Article

Positive Solutions with High Energy for Fractional Schrödinger Equations

Guo, Qing; Zhao, Leiga

2023 Acta Mathematica Scientia

doi:10.1007/s10473-023-0308-z

In this paper, we study the Schrödinger equations \documentclass[12pt]{minimal}\usepackage{amsmath}\usepackage{wasysym}\usepackage{amsfonts}\usepackage{amssymb}\usepackage{amsbsy}\usepackage{mathrsfs}\usepackage{upgreek}\setlength{\oddsidemargin}{-69pt}\begin{document}$${(- \Delta)^s}u + V(x)u =...
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Journal Article

The Existence and Local Uniqueness of Multi-Peak Solutions to a Class of Kirchhoff Type Equations

Cui, Leilei; Guo, Jiaxing; Li, Gongbao

2023 Acta Mathematica Scientia

doi:10.1007/s10473-023-0309-y

In this paper, we study the existence and local uniqueness of multi-peak solutions to the Kirchhoff type equations...
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Journal Article

Properties of Solutions to a Harmonic-Mapping Type Equation with a Dirichlet Boundary Condition

Chen, Bo; Chen, Zhengmao; Xie, Junhui

2023 Acta Mathematica Scientia

doi:10.1007/s10473-023-0310-5

In the present paper, we consider the problem \documentclass[12pt]{minimal}\usepackage{amsmath}\usepackage{wasysym}\usepackage{amsfonts}\usepackage{amssymb}\usepackage{amsbsy}\usepackage{mathrsfs}\usepackage{upgreek}\setlength{\oddsidemargin}{-69pt}\begin{document}$$\left\{{\matrix{{- \Delta u =...

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