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Normalized solutions for NLS equations with general nonlinearity on compact metric graphs
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DOI：10.1515/anona-2025-0130.png)
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Abstract
En 中文
In this article, we are concerned with the existence of normalized solutions for nonlinear Schr & ouml;dinger equations on compact metric graphs with the nonlinearity f f that is allowed to be mass-supercritical at infinity. By employing a min-max principle for constrained functionals, integrating the monotonicity trick, Morse index and blow-up analysis, we establish the existence of solutions with sufficiently small prescribed mass for a Schr & ouml;dinger equation on compact metric graphs with a general nonlinearity.
Keywords:
nonlinear Schr & ouml
dinger equations
general nonlinearity
compact metric graph
varitonal methods
Journal
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678
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1.4K