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

^*此作品的通信作者

研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

16 引文斯高帕斯（Scopus）

摘要

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.

原文	英語
頁（從 - 到）	275-301
頁數	27
期刊	Communications in Partial Differential Equations
卷	35
發行號	2
DOIs	https://doi.org/10.1080/03605300903419767
出版狀態	已發佈 - 2010 2月
對外發佈	是

ASJC Scopus subject areas

分析
應用數學

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10.1080/03605300903419767

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Link to publication in Scopus

引用此

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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.",

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doi = "10.1080/03605300903419767",

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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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UR - https://www.scopus.com/pages/publications/77950944710#tab=citedBy

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JF - Communications in Partial Differential Equations

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On the classification of standing wave solutions for the Schrödinger equation

摘要

ASJC Scopus subject areas

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指紋

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