The use of the Morse theory to estimate the number of nontrivial\n solutions of a nonlinear Schr "odinger equation with magnetic field

2014/08/13 by Claudianor O. Alves, Alves, Claudianor O., Rodrigo C. M. Nemer +3
Mathematics · #14E20 #35A15 #35H30 #35Q55 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Partial Differential Equations #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.1408.3023

openalex publication_date 2014/08/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Based on some ideas introduced by Benci and Cerami\n citebenci-cerami_calvar, we obtain an abstract result that establishes a\nversion of the Morse relations. Afterward, we use this result to prove\nmultiplicity of solutions for a nonlinear Schr "odinger equation with an\nexternal magnetic field.\n

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