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  2. Ground State and Bounded State Solutions for a Critical Stationary Maxwell System Arising in Electromagnetism

    The aim of this paper is to establish the existence and multiplicity of bounded state solutions for a critical ( p ( x ),  q ( x ))-curl system which arises...

    Mingqi **ang, Linlin Chen, Miaomiao Yang in The Journal of Geometric Analysis
    Article 16 May 2024

  3. The existence of ground state normalized solutions for Chern-Simons-Schrödinger systems

    In this paper, we study normalized solutions of the Chern-Simons-Schrödinger system with general nonlinearity and a potential in H 1 (ℝ) 2 . When the...

    Yu Mao, ** Wu, Chunlei Tang in Acta Mathematica Scientia
    Article 06 November 2023

  4. Existence and Asymptotic Behavior of Ground State Solutions for Quasilinear Schrödinger Equations with Unbounded Potential

    The authors study the existence of standing wave solutions for the quasilinear Schrödinger equation with the critical exponent and singular...

    Yanfang Xue, **ao**g Zhong, Chunlei Tang in Chinese Annals of Mathematics, Series B
    Article 27 May 2023

  5. Cylindrical Solutions and Ground State Solutions to Weighted Kirchhoff Equations

    We analyze the existence and non-existence of cylindrical solutions as well as ground state solutions to a class of Kirchhoff-type problems with...

    Zupei Shen, Jianshe Yu in The Journal of Geometric Analysis
    Article 18 August 2022

  8. Ground-state sign-changing homoclinic solutions for a discrete nonlinear p-Laplacian equation with logarithmic nonlinearity

    By using a direct non-Nehari manifold method from (Tang and Cheng in J. Differ. Equ. 261:2384–2402, 2016 ), we obtain an existence result of...

    **n Ou, **ngyong Zhang in Boundary Value Problems
    Article Open access 02 January 2024

  12. Existence and Concentration of Ground State Solutions for Chern–Simons–Schrödinger System with General Nonlinearity

    In this paper, we investigate a class of nonlinear Chern–Simons–Schrödinger system with steep well potential. Under some suitable conditions on the...

    **-Lan Tan, **-Cai Kang, Chun-Lei Tang in Mediterranean Journal of Mathematics
    Article 31 January 2023

  14. Ground-State Solutions to a Hartree–Fock Type System with a 3-Lower Nonlinearity

    In this paper, we achieve a ground state to a Hartree–Fock type system having an external potential and 3-lower nonlinearity. An interesting finding...

    Zushun Min, Yuhua Li, **aoli Zhu in Qualitative Theory of Dynamical Systems
    Article 16 September 2023

  17. Ground state solutions for a fractional system involving critical non-linearities

    The aim of this paper is to study a fractional system involving critical non-linearities. Using the Mountain Pass Theorem, the existence of ground...

    Zhenyu Guo, Yan Deng in Annals of Functional Analysis
    Article 18 June 2022
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