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    Article

    Deep learning based insulator fault detection algorithm for power transmission lines

    Aiming at the complex background of transmission lines at the present stage, which leads to the problem of low accuracy of insulator fault detection for small targets, a deep learning-based insulator fault det...

    Han Wang, Qing Yang, Binlin Zhang, Dexin Gao in Journal of Real-Time Image Processing (2024)

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    Article

    Critical planar Schrödinger–Poisson equations: existence, multiplicity and concentration

    In this paper, we are concerned with the study of the following 2-D Schrödinger–Poisson equation with critical exponential growth $$\begin{ali...

    Yiqing Li, Vicenţiu D. Rădulescu, Binlin Zhang in Mathematische Zeitschrift (2024)

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    Article

    Nonlocal Kirchhoff-type problems with singular nonlinearity: existence, uniqueness and bifurcation

    This paper focuses on the following Kirchhoff-type problems involving fractional p-Laplacian operators and singular nonlinearities $$\begin{al...

    Linlin Wang, Yuming **ng, Binlin Zhang in Fractional Calculus and Applied Analysis (2023)

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    Article

    Bifurcation and regularity of entire solutions for the planar nonlinear Schrödinger–Poisson system

    This paper deals with bifurcation and regularity properties of the entire solutions of the planar nonlinear Schrödinger–Poisson system in $$\mathbb {R...

    Patrizia Pucci, Linlin Wang, Binlin Zhang in Mathematische Annalen (2023)

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    Article

    Groundstates of the Schrödinger–Poisson–Slater equation with critical growth

    In this paper, we study the existence of ground state solutions for the following Schrödinger–Poisson–Slater equation: $$\begin{aligned} - \De...

    Chunyu Lei, Vicenţiu D. Rădulescu in Revista de la Real Academia de Ciencias Ex… (2023)

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    Article

    Removability of Isolated Singular Points for Fourth Order Elliptic Equations with Nonstandard Growth

    In this paper, we investigate the removable problem of isolated singularities for fourth order elliptic equations with nonstandard growth. Based on Moser’s iteration technique, the sufficient condition is foun...

    Yingying Shan, Binlin Zhang in Potential Analysis (2023)

  7. Article

    Open Access

    Infinitely many homoclinic solutions for fractional discrete Kirchhoff–Schrödinger equations

    In the present paper, we consider a fractional discrete Schrödinger equation with Kirchhoff term. Through the fountain theorem and the dual fountain theorem, we obtain two different conclusions about infinitel...

    Chunming Ju, Giovanni Molica Bisci in Advances in Continuous and Discrete Models (2023)

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    Article

    Critical Schrödinger–Bopp–Podolsky System with Prescribed Mass

    In this paper, we consider the critical Schrödinger–Bopp–Podolsky system with prescribed mass as follows: $$\begin{aligned} \left\{ \begin{arr...

    Yiqing Li, Binlin Zhang in The Journal of Geometric Analysis (2023)

  9. Article

    Open Access

    Multi-Peak Solutions for Coupled Nonlinear Schrödinger Systems in Low Dimensions

    In this paper, we construct the solutions to the following nonlinear Schrödinger system $$\begin{aligned} {\left\{ \begin{array}{ll} -\epsilon...

    Maoding Zhen, Binlin Zhang, Vicenţiu D. Rădulescu in Applied Mathematics & Optimization (2023)

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    Article

    Kirchhoff-Type Fractional Laplacian Problems with Critical and Singular Nonlinearities

    In the present paper, we are interested in the critical Kirchhoff-type fractional Laplacian problem involving strong singularity as shown below: ...

    Qingwei Duan, Lifeng Guo, Binlin Zhang in Bulletin of the Malaysian Mathematical Sci… (2023)

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    Article

    Sufficient and Necessary Conditions for Normalized Solutions to a Choquard Equation

    In this paper, our major concern is the existence of normalized solutions for a Choquard equation with a \(L^2\) ...

    Chunyu Lei, Miaomiao Yang, Binlin Zhang in The Journal of Geometric Analysis (2023)

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    Article

    Kirchhoff-type problems involving the fractional p-Laplacian on the Heisenberg group

    In this paper, we are interested in the existence of solutions for a class of Kirchhoff-type problems driven by a non-local integro-differential operator with the homogeneous Dirichlet boundary conditions on t...

    Jieyu Zhou, Lifeng Guo, Binlin Zhang in Rendiconti del Circolo Matematico di Paler… (2022)

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    Article

    Low Perturbations and Combined Effects of Critical and Singular Nonlinearities in Kirchhoff Problems

    In this paper, we study three-dimensional Kirchhoff equations with critical growth and singular nonlinearity. We are concerned with the qualitative analysis of solutions to the following nonlocal problem ...

    Chunyu Lei, Vicenţiu D. Rădulescu, Binlin Zhang in Applied Mathematics & Optimization (2022)

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    Article

    Normalized ground states for the critical fractional NLS equation with a perturbation

    In this paper, we study normalized ground states for the following critical fractional NLS equation with prescribed mass: $$\begin{aligned} {\...

    Maoding Zhen, Binlin Zhang in Revista Matemática Complutense (2022)

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    Article

    Soliton Solutions for Quasilinear Schrödinger Equations Involving Convolution and Critical Nonlinearities

    In this paper, we establish the existence, multiplicity and concentration behaviour of positive solutions for quasilinear Schrödinger equations with Choquard term and critical nonlinearities:

    Sihua Liang, Binlin Zhang in The Journal of Geometric Analysis (2021)

  16. Article

    Open Access

    Nonlocal Kirchhoff Problems with Singular Exponential Nonlinearity

    In this paper, we first develop the fractional Trudinger–Moser inequality in singular case and then we use it to study the existence and multiplicity of solutions for a class of perturbed fractional Kirchhoff ...

    **ang Mingqi, Vicenţiu D. Rădulescu, Binlin Zhang in Applied Mathematics & Optimization (2021)

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    Article

    Fractional Choquard-Kirchhoff problems with critical nonlinearity and Hardy potential

    In this paper, we investigate the following fractional p-Kirchhoff type problem $$\begin{aligned} \left\{ \begin{array}{ll} \left( a+b[u]_{s,p...

    Wen**g Chen, Vicenţiu D. Rădulescu, Binlin Zhang in Analysis and Mathematical Physics (2021)

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    Article

    A Uniqueness Result for Strong Singular Kirchhoff-Type Fractional Laplacian Problems

    In this paper, we study the following Kirchhoff-type fractional Laplacian problem with strong singularity: $$\begin{aligned} \left\{ \begin{ar...

    Li Wang, Kun Cheng, Binlin Zhang in Applied Mathematics & Optimization (2021)

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    Article

    Quasi-Periodic Relativistic Strings in the Minkowski Space \(\mathbf{R }^{1+n}\)

    In this article, we consider the motion of relativistic strings in the Minkowski space \(\mathbf{R }^{1+n}\) ...

    Wei** Yan, Binlin Zhang in The Journal of Geometric Analysis (2021)

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    Article

    Long Time Existence for the Bosonic Membrane in the Light Cone Gauge

    This paper aims to establish the well-posedness on time interval \([0,\varepsilon ^{-\frac{1}{2}}T]\) ...

    Wei** Yan, Binlin Zhang in The Journal of Geometric Analysis (2021)

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