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 | |
| Publication status | Published - 2010 Feb 1 |
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All Science Journal Classification (ASJC) codes
- Analysis
- Applied Mathematics
Cite this
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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 journal › Article
TY - JOUR
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
PY - 2010/2/1
Y1 - 2010/2/1
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.
UR - http://www.scopus.com/inward/record.url?scp=77950944710&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=77950944710&partnerID=8YFLogxK
U2 - 10.1080/03605300903419767
DO - 10.1080/03605300903419767
M3 - Article
VL - 35
SP - 275
EP - 301
JO - Communications in Partial Differential Equations
JF - Communications in Partial Differential Equations
SN - 0360-5302
IS - 2
ER -