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

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English
Pages (from-to)	884-956
Number of pages	73
Journal	Journal of Functional Analysis
Volume	270
Issue number	3
DOIs	https://doi.org/10.1016/j.jfa.2015.10.015
Publication status	Published - 1 Feb 2016

Keywords

Nonlinear Schrödinger equation

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10.1016/j.jfa.2015.10.015

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@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",

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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

Abstract

Keywords

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