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arXiv:1408.3023 [math.AP]AbstractReferencesReviewsResources

The use of the Morse theory to estimate the number of nontrivial solutions of a nonlinear Schrödinger equation with magnetic field

Claudianor O. Alves, Rodrigo C. M. Nemer, Sérgio H. M. Soares

Published 2014-08-13Version 1

Based on some ideas introduced by Benci and Cerami \cite{benci-cerami_calvar}, we obtain an abstract result that establishes a version of the Morse relations. Afterward, we use this result to prove multiplicity of solutions for a nonlinear Schr\"odinger equation with an external magnetic field.

Categories: math.AP
Subjects: 35A15, 14E20, 35H30, 35Q55
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