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Guo, Y., Li, S., Wei, J. and Zeng, X. (2019) Ground States of Two-Component Attractive Bose-Einstein Condensates II: Semi-Trivial Limit Behavior. Transactions of the American Mathematical Society, 371, 6903-6948.
https://doi.org/10.1090/tran/7540

has been cited by the following article:

• TITLE: Normalized Solutions of the Gross-Pitaevskii System with Inhomogeneous Interactions

  AUTHORS: Rui Sun

  KEYWORDS: Gross-Pitaevskii System, -Critical Exponent, Logarithmic Convolution, Inhomogeneous Interaction

  JOURNAL NAME: Open Access Library Journal, Vol.13 No.3, March 5, 2026

  ABSTRACT: This paper is devoted to the normalized solutions of the two-dimensional Gross-Pitaevskii system with a microwave field and inhomogeneous interactions. By investigating the relevant L 2 -critical constrained variational problem, we get the existence and nonexistence of the normalized solutions under suitable assumptions about the interaction potentials. We establish the existence and nonexistence of minimizers of e( γ,a ) via a threshold a * , where a * is the square of L 2 -norm of the unique positive solution of Δu−u+ u 3 =0 in ℝ 2 . We also analyze the limiting behavior of the constraint minimizers as a↗2 a * through overcoming the challenges associated with the sign-changing property of the logarithmic convolutions and the impact of inhomogeneous interactions.