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• W2960644428 abstract "We consider the nonlinear Schrodinger equation with focusing power-type nonlinearity on compact graphs with at least one terminal edge, i.e. an edge ending with a vertex of degree 1. On the one hand, we introduce the associated action functional and we provide a profile description of positive low action solutions at large frequencies, showing that they concentrate on one terminal edge, where they coincide with suitable rescaling of the unique solution to the corresponding problem on the real line. On the other hand, a Ljapunov-Schmidt reduction procedure is performed to construct one-peaked and multipeaked positive solutions with sufficiently large frequency, exploiting the presence of one or more terminal edges." @default.
• W2960644428 created "2019-07-23" @default.
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• W2960644428 date "2019-07-12" @default.
• W2960644428 modified "2023-09-27" @default.
• W2960644428 title "Peaked and low action solutions of NLS equations on graphs with terminal edges" @default.
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