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  1. Ground state solution for the nonlinear Klein–Gordon equation coupled with Born–Infeld theory with critical exponents

    In this paper, we study the existence of ground state solution for nonlinear Klein–Gordon equation coupled with Born–Infeld theory when the...

    Chuan-Min He, Lin Li, ... Donal O’Regan in Analysis and Mathematical Physics
    Article 11 March 2022
  2. Positive Ground States for the Fractional Klein–Gordon–Maxwell System with Critical Exponents

    In this paper, we consider a fractional Klein–Gordon–Maxwell system when the non-linearity exhibits critical growth. Under some appropriate...

    Zhenyu Guo, Lujuan Zhao in Mediterranean Journal of Mathematics
    Article 18 January 2023
  3. NLS ground states on the half-line with point interactions

    We investigate the existence and the uniqueness of NLS ground states of fixed mass on the half-line in the presence of a point interaction at the...

    Article Open access 05 May 2023
  4. Ground State Solutions for the Nonlinear Choquard Equation with Prescribed Mass

    We study existence of radially symmetric solutions for the nonlocal problem: where N ≥ 3, α ∈ (0, N), c > 0,...
    Silvia Cingolani, Kazunaga Tanaka in Geometric Properties for Parabolic and Elliptic PDE's
    Chapter 2021
  5. Ground state solution for a critical Schrodinger equation involving the p-Laplacian operator and potential term

    In this article, our aim is to establish a generalized version of Berestycki–Lions theorem about the p-Laplacian operator. As an application of this...

    Rachid Echarghaoui, Zakaria Zaimi in Journal of Elliptic and Parabolic Equations
    Article 17 March 2024
  6. Limit Behavior of Ground States of 2D Binary BECs in Steep Potential Wells

    We study the ground states of attractive binary Bose-Einstein condensates with N particles, which are trapped in the steep potential wells λV ( x ) in ℝ 2 ...

    Yuzhen Kong, Zhiyuan Cui, Dun Zhao in Acta Mathematica Scientia
    Article 18 October 2022
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