Existence in the nonlinear Schrödinger equation with bounded magnetic field

2021/11/09 by Schindler, Ian, Tintarev, Cyril
#35J20 #35J61 #35Q40 #35Q60 #46B50 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2111.05362

Abstract

The paper studies existence of ground states for the nonlinear Schrödinger equation with a general external magnetic field. In particular, no lattice periodicity or symmetry of the magnetic field, or presence of external electric field is required.

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