Enrico Serra

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20232026

L^{2}

-supercritical NLS equations on noncompact metric graphs

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math.AP2023

Normalized ground states for Schrödinger equations on metric graphs with nonlinear point defects

Filippo Boni, Simone Dovetta, Enrico Serra

We investigate the existence of normalized ground states for Schrödinger equations on noncompact metric graphs in presence of nonlinear point defects, described by nonlinear $δ$ -in…

math.AP2023

Existence and multiplicity of peaked bound states for nonlinear Schrödinger equations on metric graphs

Haixia Chen, Simone Dovetta, Angela Pistoia +1

We establish existence and multiplicity of one-peaked and multi-peaked positive bound states for nonlinear Schrödinger equations on general compact and noncompact metric graphs. Pr…