Normalized solutions for Chern-Simons-Schrödinger system with mixed
dispersion and critical exponential growth
Abstract
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 L 2 -norm constraint, namely, ∫ R
2 u 2 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.