On the classification of standing wave solutions for the Schrödinger equation

Jann Long Chern; Zhi You Chen; Jhih He Chen; Yong Li Tang

doi:10.1080/03605300903419767

On the classification of standing wave solutions for the Schrödinger equation

Jann Long Chern^*, Zhi You Chen, Jhih He Chen, Yong Li Tang

^*Corresponding author for this work

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

14 Citations (Scopus)

Abstract

In this article, we consider the following semilinear elliptic equation where n ≥ 3, p > 1 and λ > 0. We provide the existence and uniqueness of the singular radial solution of the above equation for specific ranges of n and p. In addition, we also clarify the entire structure of radial solutions for various types according to their behaviors at the origin and infinity.

Original language	English
Pages (from-to)	275-301
Number of pages	27
Journal	Communications in Partial Differential Equations
Volume	35
Issue number	2
DOIs	https://doi.org/10.1080/03605300903419767
Publication status	Published - 2010 Feb
Externally published	Yes

Keywords

Classification of solutions
Schrödinger equation
Standing wave solutions

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1080/03605300903419767

Cite this

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title = "On the classification of standing wave solutions for the Schr{\"o}dinger equation",

abstract = "In this article, we consider the following semilinear elliptic equation where n ≥ 3, p > 1 and λ > 0. We provide the existence and uniqueness of the singular radial solution of the above equation for specific ranges of n and p. In addition, we also clarify the entire structure of radial solutions for various types according to their behaviors at the origin and infinity.",

keywords = "Classification of solutions, Schr{\"o}dinger equation, Standing wave solutions",

author = "Chern, {Jann Long} and Chen, {Zhi You} and Chen, {Jhih He} and Tang, {Yong Li}",

note = "Funding Information: This work was partially supported by National Science Council of Taiwan.",

year = "2010",

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doi = "10.1080/03605300903419767",

language = "English",

volume = "35",

pages = "275--301",

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T1 - On the classification of standing wave solutions for the Schrödinger equation

AU - Chern, Jann Long

AU - Chen, Zhi You

AU - Chen, Jhih He

AU - Tang, Yong Li

N1 - Funding Information: This work was partially supported by National Science Council of Taiwan.

PY - 2010/2

Y1 - 2010/2

N2 - In this article, we consider the following semilinear elliptic equation where n ≥ 3, p > 1 and λ > 0. We provide the existence and uniqueness of the singular radial solution of the above equation for specific ranges of n and p. In addition, we also clarify the entire structure of radial solutions for various types according to their behaviors at the origin and infinity.

AB - In this article, we consider the following semilinear elliptic equation where n ≥ 3, p > 1 and λ > 0. We provide the existence and uniqueness of the singular radial solution of the above equation for specific ranges of n and p. In addition, we also clarify the entire structure of radial solutions for various types according to their behaviors at the origin and infinity.

KW - Classification of solutions

KW - Schrödinger equation

KW - Standing wave solutions

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U2 - 10.1080/03605300903419767

DO - 10.1080/03605300903419767

M3 - Article

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EP - 301

JO - Communications in Partial Differential Equations

JF - Communications in Partial Differential Equations

IS - 2

ER -

On the classification of standing wave solutions for the Schrödinger equation

Abstract

Keywords

ASJC Scopus subject areas

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