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  4. Ground state solutions for Schrödinger–Poisson systems with multiple weighted critical exponents

    In this paper we study the existence of nonnegative radial ground state solutions and nontrivial radial solutions of a Schrödinger–Poisson system...

    Yao Du, Jiabao Su in Nonlinear Differential Equations and Applications NoDEA
    Article 25 September 2021

  5. Ground state solitons for periodic Schrödinger lattice systems with saturable nonlinearities and spectrum 0

    This paper is concerned with a class of periodic Schrödinger lattice systems with spectrum 0 and saturable nonlinearities. The existence of ground...

    Guanwei Chen, Shiwang Ma in Analysis and Mathematical Physics
    Article 20 June 2024

  7. Ground State Solution for Schrödinger–KdV System with Periodic Potential

    In this paper, we study the coupled nonlinear Schrödinger–Korteweg–de Vries system with periodic potential. By using the variational method and...

    Fei-Fei Liang, **ng-** Wu, Chun-Lei Tang in Qualitative Theory of Dynamical Systems
    Article 23 January 2023

  8. Unstable Ground State and Blow Up Result of Nonlocal Klein–Gordon Equations

    In this paper we study the behaviour of solutions for a nonlocal hyperbolic equation. We use the Pohozaev manifold combined with a new technique to...

    Paulo Cesar Carrião, Raquel Lehrer, André Vicente in Journal of Dynamics and Differential Equations
    Article 26 June 2023

  9. Ground state solution for a weighted fourth-order Schrödinger equation with exponential growth nonlinearity

    In this paper, we establish the existence of a ground state solution for a weighted fourth-order equation of Shrödinger type under boundary Dirichlet...

    Rima Chetouane, Brahim Dridi, Rached Jaidane in Lithuanian Mathematical Journal
    Article 01 October 2023

  10. Existence of a Ground-State and Infinitely Many Homoclinic Solutions for a Periodic Discrete System with Sign-Changing Mixed Nonlinearities

    We study the existence and multiplicity of homoclinic solutions for a class of periodic discrete systems with sign-changing mixed nonlinearities that...

    Genghong Lin, Jianshe Yu in The Journal of Geometric Analysis
    Article 03 February 2022

  12. Ground States for DNLS Equation with Periodic or Asymptotically Periodic Potential

    We study the existence of ground state solutions for a class of discrete nonlinear Schrödinger equation with a sign-changing potential which is...

    Peng Chen, Li Meng, **anhua Tang in Frontiers of Mathematics
    Article 05 May 2024

  13. Existence of ground states solutions for Dirac-Poisson systems

    This paper concerns the ground state solutions for the system of partial differential equations known as the Dirac-Poisson system. Under suitable...

    Abderrazek Benhassine in São Paulo Journal of Mathematical Sciences
    Article 26 January 2022

  16. Existence of ground state solutions for fractional Kirchhoff Choquard problems with critical Trudinger–Moser nonlinearity

    In this paper, we study the existence of ground state solutions to the following fractional Kirchhoff–Choquard type problem with Trudinger–Moser...

    Shengbing Deng, Sihui **ong in Computational and Applied Mathematics
    Article 21 December 2021

  19. Ground States Solutions for a Modified Fractional Schrödinger Equation with a Generalized Choquard Nonlinearity

    Abstract

    In this paper, using variational methods, we study the existence of ground states solutions to the modified fractional Schrödinger equations...

    I. Dehsari, N. Nyamoradi in Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences)
    Article 22 June 2022
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