Multi-Bump Standing Waves for Nonlinear Schrödinger Equations with a General Nonlinearity: The Topological Effect of Potential Wells

In this article, we are interested in multi-bump solutions of the singularly perturbed problem

Bibliographic Details
Main Author: Jin Sangdon
Format: Article
Language:English
Published: De Gruyter 2021-05-01
Series:Advanced Nonlinear Studies
Subjects:
Online Access:https://doi.org/10.1515/ans-2021-2129
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author Jin Sangdon
author_facet Jin Sangdon
author_sort Jin Sangdon
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description In this article, we are interested in multi-bump solutions of the singularly perturbed problem
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spelling doaj.art-ea97ed7863854675a1d2252b32fe15cf2022-12-22T02:17:40ZengDe GruyterAdvanced Nonlinear Studies1536-13652169-03752021-05-0121236939610.1515/ans-2021-2129Multi-Bump Standing Waves for Nonlinear Schrödinger Equations with a General Nonlinearity: The Topological Effect of Potential WellsJin Sangdon0Stochastic Analysis and Application Research Center, KAIST, 291 Daehak-ro, Yuseong-gu, Daejeon, 305-701, Republic of KoreaIn this article, we are interested in multi-bump solutions of the singularly perturbed problemhttps://doi.org/10.1515/ans-2021-2129nonlinear schrödinger equationssingular perturbationsemi-classical standing wavesvariational methods35j20 35b25 35q55 58e05
spellingShingle Jin Sangdon
Multi-Bump Standing Waves for Nonlinear Schrödinger Equations with a General Nonlinearity: The Topological Effect of Potential Wells
Advanced Nonlinear Studies
nonlinear schrödinger equations
singular perturbation
semi-classical standing waves
variational methods
35j20
35b25
35q55
58e05
title Multi-Bump Standing Waves for Nonlinear Schrödinger Equations with a General Nonlinearity: The Topological Effect of Potential Wells
title_full Multi-Bump Standing Waves for Nonlinear Schrödinger Equations with a General Nonlinearity: The Topological Effect of Potential Wells
title_fullStr Multi-Bump Standing Waves for Nonlinear Schrödinger Equations with a General Nonlinearity: The Topological Effect of Potential Wells
title_full_unstemmed Multi-Bump Standing Waves for Nonlinear Schrödinger Equations with a General Nonlinearity: The Topological Effect of Potential Wells
title_short Multi-Bump Standing Waves for Nonlinear Schrödinger Equations with a General Nonlinearity: The Topological Effect of Potential Wells
title_sort multi bump standing waves for nonlinear schrodinger equations with a general nonlinearity the topological effect of potential wells
topic nonlinear schrödinger equations
singular perturbation
semi-classical standing waves
variational methods
35j20
35b25
35q55
58e05
url https://doi.org/10.1515/ans-2021-2129
work_keys_str_mv AT jinsangdon multibumpstandingwavesfornonlinearschrodingerequationswithageneralnonlinearitythetopologicaleffectofpotentialwells