LAUSR

This paper focuses on the existence of normalized solutions for the Chern–Simons–Schrödinger system with mixed dispersion and critical exponential growth. These solutions correspond to critical points of the underlying energy functional under the L2$$ {L}^2 $$ ‐norm constraint, namely, ∫ℝ2u2dx=c>0$$ {\int}_{{\mathrm{\mathbb{R}}}^2}{u}^2\mathrm{d}x=c>0 $$ . Under certain mild assumptions, we establish the existence of nontrivial solutions by developing new mathematical strategies and analytical techniques for the given system. These results extend and improve the results in the existing literature.