On the classification of standing wave solutions for the Schrödinger equation

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

Research output: Contribution to journalArticle

9 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 languageEnglish
Pages (from-to)275-301
Number of pages27
JournalCommunications in Partial Differential Equations
Volume35
Issue number2
DOIs
Publication statusPublished - 2010 Feb 1

Fingerprint

Radial Solutions
Standing Wave
Semilinear Elliptic Equations
Existence and Uniqueness
Infinity
Entire
Range of data

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

Cite this

Chern, Jann Long ; Chen, Zhi-You ; Chen, Jhih He ; Tang, Yong Li. / On the classification of standing wave solutions for the Schrödinger equation. In: Communications in Partial Differential Equations. 2010 ; Vol. 35, No. 2. pp. 275-301.
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On the classification of standing wave solutions for the Schrödinger equation. / Chern, Jann Long; Chen, Zhi-You; Chen, Jhih He; Tang, Yong Li.

In: Communications in Partial Differential Equations, Vol. 35, No. 2, 01.02.2010, p. 275-301.

Research output: Contribution to journalArticle

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