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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 MelgaardWe 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.
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Publication status
- Published
Journal
Journal of Differential EquationsISSN
0022-0396Publisher
ElsevierExternal DOI
Issue
6Volume
253Page range
1729-1743Department affiliated with
- Mathematics Publications
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- No
Peer reviewed?
- Yes
Legacy Posted Date
2013-05-20Usage metrics
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