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Multiple solutions to a nonlinear Schrödinger equation with Aharonov-Bohm magnetic potential

Nonlinear Differential Equations and Applications (2010) 17(2) 229-248
DOI: 10.1007/s00030-009-0051-8
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Abstract

We consider the magnetic nonlinear Schrödinger equations in Ω=O×ℝ, where O is an open subset of ℝ2\{0}, and A:Ω→ℝ3 is the Aharonov-Bohm magnetic potential, We prove multiplicity results and describe the symmetry properties of the solutions obtained. © 2009 Birkhäuser Verlag Basel/Switzerland.

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Clapp, M., & Szulkin, A. (2010). Multiple solutions to a nonlinear Schrödinger equation with Aharonov-Bohm magnetic potential. Nonlinear Differential Equations and Applications, 17(2), 229–248. https://doi.org/10.1007/s00030-009-0051-8

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