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On radial solutions of certain semi-linear elliptic equations

Ehrnström, Mats LU (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.
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
radial solution, nonlinear differential equation
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)
date added to LUP
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 >= 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}},
}