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 journalArticlepeer-review

10 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
Externally publishedYes

Keywords

  • Classification of solutions
  • Schrödinger equation
  • Standing wave solutions

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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