Solutions without any symmetry for semilinear elliptic problems

Weiwei Ao; Monica Musso; Frank Pacard; Juncheng Wei

doi:10.1016/j.jfa.2015.10.015

Solutions without any symmetry for semilinear elliptic problems

Weiwei Ao
, Monica Musso
, Frank Pacard
, Juncheng Wei

University of British Columbia
Pontificia Universidad Católica de Chile
Institut Universitaire de France

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

We prove the existence of infinitely many solitary waves for the nonlinear Klein-Gordon or Schrödinger equation Δu-u+u3=0, in R², which have finite energy and whose maximal group of symmetry reduces to the identity.

langue originale	Anglais
Pages (de - à)	884-956
Nombre de pages	73
journal	Journal of Functional Analysis
Volume	270
Numéro de publication	3
Les DOIs	https://doi.org/10.1016/j.jfa.2015.10.015
état	Publié - 1 févr. 2016

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10.1016/j.jfa.2015.10.015

Contient cette citation

@article{4e480c3123704e57865d8a438b70fb5a,

title = "Solutions without any symmetry for semilinear elliptic problems",

abstract = "We prove the existence of infinitely many solitary waves for the nonlinear Klein-Gordon or Schr{\"o}dinger equation Δu-u+u3=0, in R2, which have finite energy and whose maximal group of symmetry reduces to the identity.",

keywords = "Nonlinear Schr{\"o}dinger equation",

author = "Weiwei Ao and Monica Musso and Frank Pacard and Juncheng Wei",

note = "Publisher Copyright: {\textcopyright} 2015 Elsevier Inc.",

year = "2016",

month = feb,

day = "1",

doi = "10.1016/j.jfa.2015.10.015",

language = "English",

volume = "270",

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journal = "Journal of Functional Analysis",

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T1 - Solutions without any symmetry for semilinear elliptic problems

AU - Ao, Weiwei

AU - Musso, Monica

AU - Pacard, Frank

AU - Wei, Juncheng

PY - 2016/2/1

Y1 - 2016/2/1

N2 - We prove the existence of infinitely many solitary waves for the nonlinear Klein-Gordon or Schrödinger equation Δu-u+u3=0, in R2, which have finite energy and whose maximal group of symmetry reduces to the identity.

AB - We prove the existence of infinitely many solitary waves for the nonlinear Klein-Gordon or Schrödinger equation Δu-u+u3=0, in R2, which have finite energy and whose maximal group of symmetry reduces to the identity.

KW - Nonlinear Schrödinger equation

U2 - 10.1016/j.jfa.2015.10.015

DO - 10.1016/j.jfa.2015.10.015

M3 - Article

AN - SCOPUS:84952862387

SN - 0022-1236

VL - 270

SP - 884

EP - 956

JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

IS - 3

ER -

Solutions without any symmetry for semilinear elliptic problems

Résumé

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