Nonlinear Schrödinger equation with bounded magnetic field

Published 5 Nov 2019 in math.AP | (1911.01657v2)

Abstract: The paper studies existence of solutions for the nonlinear Schr\"odinger equation with a general bounded external magnetic field. In particular, no lattice periodicity of the magnetic field or presence of external electric field is required. Solutions are obtained by means of a general structural statement about bounded sequences in the magnetic Sobolev space.

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