The Library
Some new entire solutions of semilinear elliptic equations on Rn
Tools
Malchiodi, A. (2009) Some new entire solutions of semilinear elliptic equations on Rn. Advances in Mathematics, Vol.221 (No.6). pp. 1843-1909. doi:10.1016/j.aim.2009.03.012 ISSN 0001-8708.
Research output not available from this repository.
Request-a-Copy directly from author or use local Library Get it For Me service.
Official URL: http://dx.doi.org/10.1016/j.aim.2009.03.012
Abstract
We prove existence of a new type of positive solutions of the semilinear equation −Δu+u=up on Rn, where . These solutions are bounded, but do not tend to zero at infinity. Indeed, they decay to zero away from three half-lines with a common origin, and their asymptotic profile is periodic along these half-lines.
Item Type: | Journal Article | ||||
---|---|---|---|---|---|
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Journal or Publication Title: | Advances in Mathematics | ||||
Publisher: | Academic Press | ||||
ISSN: | 0001-8708 | ||||
Official Date: | 2009 | ||||
Dates: |
|
||||
Volume: | Vol.221 | ||||
Number: | No.6 | ||||
Page Range: | pp. 1843-1909 | ||||
DOI: | 10.1016/j.aim.2009.03.012 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access |
Request changes or add full text files to a record
Repository staff actions (login required)
View Item |