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 L2-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 via a threshold , where is the square of -norm of the unique positive solution of in . We also analyze the limiting behavior of the constraint minimizers as through overcoming the challenges associated with the sign-changing property of the logarithmic convolutions and the impact of inhomogeneous interactions.
Cite this paper
Sun, R. (2026). Normalized Solutions of the Gross-Pitaevskii System with Inhomogeneous Interactions. Open Access Library Journal, 13, e14973. doi: http://dx.doi.org/10.4236/oalib.1114973.
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