Nonlinear Schrödinger equation with bounded magnetic field

DOI10.1016/j.jde.2020.06.010zbMath1442.35360arXiv1911.01657OpenAlexW3036775604MaRDI QIDQ778243

Giuseppe Devillanova, Kyril Tintarev

Publication date: 2 July 2020

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.01657

zbMATH Keywords

Schrödinger operatormagnetic fieldground statecritical pointsconcentration compactnessprofile decomposition

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) PDEs in connection with quantum mechanics (35Q40) Compactness in Banach (or normed) spaces (46B50) Variational methods for second-order elliptic equations (35J20) Semilinear elliptic equations (35J61)

Related Items (4)

Existence in the nonlinear Schrödinger equation with bounded magnetic field ⋮ Construction of solutions for the nonlinear magnetic Schrödinger equation in RN ⋮ On a stationary Schrödinger equation with periodic magnetic potential ⋮ On the ground states for the X‐ray free electron lasers Schrödinger equation

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