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most citedOn a nonlinear model in domains with cavities arising from cardiac electrophysiology

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math.AP2016

Normalized bound states for the nonlinear Schrodinger equation in bounded domains

Dario Pierotti, Gianmaria Verzini

Given , we study the elliptic problem \[ \text{find } (U,λ)\in H^1_0(Ω)\times \mathbb{R} \text{ such that } \begin{cases} -ΔU+λU=|U|^{p-1}U \int_Ω U^2\, dx=ρ, \end{cases} \] w…