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Normalized solutions for Chern-Simons-Schrödinger system with mixed dispersion and critical exponential growth
  • Chenlu Wei,
  • Lixi Wen
Chenlu Wei
Central South University School of Mathematics and Statistics
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Lixi Wen
Changsha University of Science and Technology School of Mathematics and Statistics

Corresponding Author:008861@csust.edu.cn

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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.
26 Apr 2024Submitted to Mathematical Methods in the Applied Sciences
28 Apr 2024Submission Checks Completed
28 Apr 2024Assigned to Editor
29 Jun 2024Review(s) Completed, Editorial Evaluation Pending
10 Jul 20241st Revision Received
17 Jul 2024Submission Checks Completed
17 Jul 2024Assigned to Editor
17 Jul 2024Review(s) Completed, Editorial Evaluation Pending
19 Jul 2024Editorial Decision: Accept