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  1. Ground State Solution of Schrödinger–Poisson–Choquard Equation: Double Critical Case

    In this paper, we study the existence of Nehari type and Pohožaev type ground state solutions for Schrödinger–Poisson–Choquard equation. The...

    Senli Liu, Yu Su, Sainan Wang in Results in Mathematics
    Article 24 June 2022
  2. Existence of ground state solutions of the coupled nonlinear Hartree type system with attractive couplings

    In this paper we prove the existence and nonexistence of positive ground state solutions of coupled nonlinear Hartree type system attractive...

    Article 18 January 2021
  3. Ground state solutions for a class of elliptic Dirichlet problems involving the p(x)-Laplacian

    We are interested in the existence and multiplicity of ground state solutions for a class of p ( x )-Laplacian Dirichlet problem in bounded domains....

    Bin Ge, **ang-Wu Zhuge, Wen-Shuo Yuan in Analysis and Mathematical Physics
    Article 05 June 2021
  4. Ground state solutions for quasilinear scalar field equations arising in nonlinear optics

    In this paper, we study a class of quasilinear elliptic equations which appears in nonlinear optics. By using the mountain pass theorem together with...

    Alessio Pomponio, Tatsuya Watanabe in Nonlinear Differential Equations and Applications NoDEA
    Article 22 March 2021
  5. Non-Nehari Manifold Method for Hamiltonian Elliptic System with Hardy Potential: Existence and Asymptotic Properties of Ground State Solution

    This paper is dedicated to studying ground state solution for a class of Hamiltonian elliptic system with gradient term and inverse square potential....

    Peng Chen, **anhua Tang, Limin Zhang in The Journal of Geometric Analysis
    Article 04 January 2022
  6. Ground state solution for quasi-linear elliptic systems with general source terms on unbounded domain

    In this work we establish two main results. The first one deals with the existence of regular equilibrium state as a positive ground state solution...

    Khalid Iskafi, Abdelaziz Ahammou in Mathematical Sciences
    Article 27 April 2022
  7. Ground states for coupled NLS equations with double power nonlinearities

    We study the existence of ground states (minimizers of an energy under a fixed masses constraint) for a system of coupled NLS equations with double...

    Nataliia Goloshchapova, Liliana Cely in Nonlinear Differential Equations and Applications NoDEA
    Article 10 June 2024
  8. Ground state solution for nonlocal scalar field equations involving an integro-differential operator

    This paper is concerned with nonlocal scalar field equations involving an integro-differential operator. We investigate the existence of solutions...

    Article 18 February 2022
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