# Multi-bump solutions for nonlinear Schrödinger equations with electromagnetic fields

ESAIM: Control, Optimisation and Calculus of Variations (2013)

- Volume: 19, Issue: 1, page 91-111
- ISSN: 1292-8119

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topPi, Huirong, and Wang, Chunhua. "Multi-bump solutions for nonlinear Schrödinger equations with electromagnetic fields." ESAIM: Control, Optimisation and Calculus of Variations 19.1 (2013): 91-111. <http://eudml.org/doc/272822>.

@article{Pi2013,

abstract = {In this paper, we are concerned with the existence of multi-bump solutions for a nonlinear Schrödinger equations with electromagnetic fields. We prove under some suitable conditions that for any positive integer m, there exists ε(m) > 0 such that, for 0 < ε < ε(m), the problem has an m-bump complex-valued solution. As a result, when ε → 0, the equation has more and more multi-bump complex-valued solutions.},

author = {Pi, Huirong, Wang, Chunhua},

journal = {ESAIM: Control, Optimisation and Calculus of Variations},

keywords = {contraction map; electromagnetic fields; multi-bump solutions; nonlinear Schrödinger equation; variational reduction method},

language = {eng},

number = {1},

pages = {91-111},

publisher = {EDP-Sciences},

title = {Multi-bump solutions for nonlinear Schrödinger equations with electromagnetic fields},

url = {http://eudml.org/doc/272822},

volume = {19},

year = {2013},

}

TY - JOUR

AU - Pi, Huirong

AU - Wang, Chunhua

TI - Multi-bump solutions for nonlinear Schrödinger equations with electromagnetic fields

JO - ESAIM: Control, Optimisation and Calculus of Variations

PY - 2013

PB - EDP-Sciences

VL - 19

IS - 1

SP - 91

EP - 111

AB - In this paper, we are concerned with the existence of multi-bump solutions for a nonlinear Schrödinger equations with electromagnetic fields. We prove under some suitable conditions that for any positive integer m, there exists ε(m) > 0 such that, for 0 < ε < ε(m), the problem has an m-bump complex-valued solution. As a result, when ε → 0, the equation has more and more multi-bump complex-valued solutions.

LA - eng

KW - contraction map; electromagnetic fields; multi-bump solutions; nonlinear Schrödinger equation; variational reduction method

UR - http://eudml.org/doc/272822

ER -

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