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On positive solutions of a class of nonlinear elliptic equations

Ehrnström, Mats LU and Mustafa, Octavian G. (2007) In Nonlinear Analysis: Theory, Methods & Applications 67(4). p.1147-1154
Abstract
We investigate the existence of positive solutions vanishing as x ->+infinity to the semilinear elliptic equation Delta u + f (x, u) + g(x)x . del u = 0, x > A > 0, in R-n, n >= 3, under mild assumptions on the functions f, g. Conditions for these solutions to be radial are also given.
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author
and
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
positive solution, nonlinear elliptic equation, exterior domain
in
Nonlinear Analysis: Theory, Methods & Applications
volume
67
issue
4
pages
1147 - 1154
publisher
Elsevier
external identifiers
  • wos:000246854200013
  • scopus:34147175060
ISSN
0362-546X
DOI
10.1016/j.na.2006.07.002
language
English
LU publication?
yes
id
b1cd225e-2d96-4295-8692-b7b166d3f6bc (old id 662513)
date added to LUP
2016-04-01 15:53:17
date last changed
2022-01-28 07:49:34
@article{b1cd225e-2d96-4295-8692-b7b166d3f6bc,
  abstract     = {{We investigate the existence of positive solutions vanishing as x ->+infinity to the semilinear elliptic equation Delta u + f (x, u) + g(x)x . del u = 0, x > A > 0, in R-n, n >= 3, under mild assumptions on the functions f, g. Conditions for these solutions to be radial are also given.}},
  author       = {{Ehrnström, Mats and Mustafa, Octavian G.}},
  issn         = {{0362-546X}},
  keywords     = {{positive solution; nonlinear elliptic equation; exterior domain}},
  language     = {{eng}},
  number       = {{4}},
  pages        = {{1147--1154}},
  publisher    = {{Elsevier}},
  series       = {{Nonlinear Analysis: Theory, Methods & Applications}},
  title        = {{On positive solutions of a class of nonlinear elliptic equations}},
  url          = {{http://dx.doi.org/10.1016/j.na.2006.07.002}},
  doi          = {{10.1016/j.na.2006.07.002}},
  volume       = {{67}},
  year         = {{2007}},
}