Multi-bump solutions to a nonlinear Schrödinger equation with steep magnetic wells

DOI10.1063/1.4930247zbMath1330.35416OpenAlexW1893747418MaRDI QIDQ3192692

Shin-Ichi Shirai

Publication date: 13 October 2015

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.4930247

zbMATH Keywords

nonlinear elliptic equationsmagnetic potentialexistence proofspike solutions

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01)

Related Items (2)

Multiple complex-valued solutions for the nonlinear Schrödinger equations involving magnetic potentials ⋮ On the ground states for the X‐ray free electron lasers Schrödinger equation

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