%0 Journal Article
%T Normalized Solutions of the Gross-Pitaevskii System with Inhomogeneous Interactions
%A Rui Sun
%J Open Access Library Journal
%V 13
%N 3
%P 1-23
%@ 2333-9721
%D 2026
%I Open Access Library
%R 10.4236/oalib.1114973
%X 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&nbsp; L<SUP>2</SUP>-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&nbsp; &nbsp;via a threshold&nbsp; , where&nbsp; &nbsp;is the square of&nbsp; -norm of the unique positive solution of&nbsp; &nbsp;in&nbsp; . We also analyze the limiting behavior of the constraint minimizers as&nbsp; &nbsp;through overcoming the challenges associated with the sign-changing property of the logarithmic convolutions and the impact of inhomogeneous interactions.
%K Gross-Pitaevskii System
%K L<SUP>2</SUP> -Critical Exponent
%K Logarithmic Convolution
%K Inhomogeneous Interaction
%U http://www.oalib.com/paper/6889148