Infinitely many solutions of a symmetric semilinear elliptic equation on an unbounded domain
(2003) In Arkiv för Matematik 41(1). p.105-114- Abstract
- We study a semilinear elliptic equation of the form
−Δu+u=f(x,u),u∈H^1_0(Ω),
wheref is continuous, odd in u and satisfies some (subcritical) growth conditions. The domain Ω⊂R^N is supposed to be an unbounded domain (N≥3). We introduce a class of domains, called strongly asymptotically contractive, and show that for such domains Ω, the equation has infinitely many solutions.
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https://lup.lub.lu.se/record/3e05e204-f95f-42b0-a289-472436e303c6
- author
- Maad, Sara LU
- publishing date
- 2003
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Arkiv för Matematik
- volume
- 41
- issue
- 1
- pages
- 10 pages
- publisher
- Springer
- external identifiers
-
- scopus:29144447864
- ISSN
- 0004-2080
- DOI
- 10.1007/BF02384570
- language
- English
- LU publication?
- no
- id
- 3e05e204-f95f-42b0-a289-472436e303c6
- date added to LUP
- 2017-02-08 13:23:25
- date last changed
- 2025-04-04 14:10:20
@article{3e05e204-f95f-42b0-a289-472436e303c6, abstract = {{We study a semilinear elliptic equation of the form<br/>−Δu+u=f(x,u),u∈H^1_0(Ω),<br/>wheref is continuous, odd in u and satisfies some (subcritical) growth conditions. The domain Ω⊂R^N is supposed to be an unbounded domain (N≥3). We introduce a class of domains, called strongly asymptotically contractive, and show that for such domains Ω, the equation has infinitely many solutions.}}, author = {{Maad, Sara}}, issn = {{0004-2080}}, language = {{eng}}, number = {{1}}, pages = {{105--114}}, publisher = {{Springer}}, series = {{Arkiv för Matematik}}, title = {{Infinitely many solutions of a symmetric semilinear elliptic equation on an unbounded domain}}, url = {{http://dx.doi.org/10.1007/BF02384570}}, doi = {{10.1007/BF02384570}}, volume = {{41}}, year = {{2003}}, }