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Entire solutions of autonomous equations on Rn with nontrivial asymptotics
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Malchiodi, A. (2008) Entire solutions of autonomous equations on Rn with nontrivial asymptotics. Rendiconti Lincei - Matematica e Applicazioni, Vol.19 (No.1). pp. 65-72. doi:10.4171/RLM/508 ISSN 1120-6330.
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Official URL: http://dx.doi.org/10.4171/RLM/508
Abstract
We prove existence of a new type of solutions for the semilinear equation ā\Du+u=up on \Rn, with 1<p<n+2nā2. These solutions are positive, bounded, decay exponentially to zero away from three half-lines with a common origin, and at infinity are asymptotically periodic.
Item Type: | Journal Article | ||||
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Journal or Publication Title: | Rendiconti Lincei - Matematica e Applicazioni | ||||
Publisher: | European Mathematical Society Publishing House | ||||
ISSN: | 1120-6330 | ||||
Official Date: | 2008 | ||||
Dates: |
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Volume: | Vol.19 | ||||
Number: | No.1 | ||||
Page Range: | pp. 65-72 | ||||
DOI: | 10.4171/RLM/508 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access |
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