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On radial solutions of certain semi-linear elliptic equations

(2006) In Nonlinear Analysis: Theory, Methods & Applications 64(7). p.1578-1586
Abstract
We consider the semi-linear elliptic equation Delta u + f (x, u) + g (vertical bar x vertical bar)x center dot del u = 0, in some exterior region of R-n, n >= 3. It is shown that if f depends radially on its first argument and is nonincreasing in its second, boundary conditions force the unique solution to be radial. Under different conditions, we prove the existence of a positive radial asymptotic solution to the same equation. (c) 2005 Elsevier Ltd. All rights reserved.
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
in
Nonlinear Analysis: Theory, Methods & Applications
volume
64
issue
7
pages
1578 - 1586
publisher
Elsevier
external identifiers
• wos:000235694400011
• scopus:31444442352
ISSN
0362-546X
DOI
10.1016/j.na.2005.07.008
language
English
LU publication?
yes
id
c5a9c27b-e1a1-4302-8e73-a69bcdbd6c51 (old id 416679)
2016-04-01 16:54:22
date last changed
2022-01-28 23:01:07
```@article{c5a9c27b-e1a1-4302-8e73-a69bcdbd6c51,
abstract     = {{We consider the semi-linear elliptic equation Delta u + f (x, u) + g (vertical bar x vertical bar)x center dot del u = 0, in some exterior region of R-n, n &gt;= 3. It is shown that if f depends radially on its first argument and is nonincreasing in its second, boundary conditions force the unique solution to be radial. Under different conditions, we prove the existence of a positive radial asymptotic solution to the same equation. (c) 2005 Elsevier Ltd. All rights reserved.}},
author       = {{Ehrnström, Mats}},
issn         = {{0362-546X}},
keywords     = {{radial solution; nonlinear differential equation}},
language     = {{eng}},
number       = {{7}},
pages        = {{1578--1586}},
publisher    = {{Elsevier}},
series       = {{Nonlinear Analysis: Theory, Methods & Applications}},
title        = {{On radial solutions of certain semi-linear elliptic equations}},
url          = {{http://dx.doi.org/10.1016/j.na.2005.07.008}},
doi          = {{10.1016/j.na.2005.07.008}},
volume       = {{64}},
year         = {{2006}},
}

```