Abstract
In this paper, we are concerned with normalized solutions for the Kirchhoff equation on noncompact metric graphs . We first study the case that the graph is the real line and the half line respectively, which improves the results in the literature. Then we consider the existence, nonexistence and uniqueness of the normalized ground state solutions on more general noncompact metric graphs. It can be observed from the results that the existence of the normalized solution depends not only on the mass μ but also on the topology and metric properties of .
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