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Abstract criteria for multiple solutions to nonlinear coupled equations involving magnetic Schrödinger operators

journal contribution
posted on 2023-06-08, 14:55 authored by M Enstedt, Michael MelgaardMichael Melgaard
We consider a system of nonlinear coupled equations involving magnetic Schrödinger operators and general potentials. We provide the criteria for the existence of multiple solutions to these equations. As special cases we get the classical results on existence of infinitely many distinct solutions within Hartree and Hartree–Fock theory of atoms and molecules subject to an external magnetic fields. We also extend recent results within this theory, including Coulomb system with a constant magnetic field, a decreasing magnetic field and a “physically measurable” magnetic field.

History

Publication status

  • Published

Journal

Journal of Differential Equations

ISSN

0022-0396

Publisher

Elsevier

Issue

6

Volume

253

Page range

1729-1743

Department affiliated with

  • Mathematics Publications

Full text available

  • No

Peer reviewed?

  • Yes

Legacy Posted Date

2013-05-20

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