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Multiple Normalized Solutions for Kirchhoff Systems in Mass-Mixed Regimes
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DOI：10.1007/s00245-026-10423-1.png)
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Abstract
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This paper is concerned with the existence of normalized solutions to a coupled Kirchhoff system under prescribed L2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$L<^>2$$\end{document}-norm constraints. In the mass-mixed setting, we employ a constrained variational approach on L2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$L<^>2$$\end{document}-balls and prove the existence of two distinct positive normalized solutions: a local minimizer with negative energy and a mountain-pass solution with positive energy. Our results extend and complement earlier existence theorems in the literature.
Keywords:
Normalized solutions
Kirchhoff systems
Mass-mixed nonlinearity
Journal
A
IF:
1.7
Papers:
106
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0
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