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

Department of Mathematics

Research output: Contribution to journal › Article › peer-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 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 1

All Science Journal Classification (ASJC) codes

Analysis
Applied Mathematics

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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.",

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

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