Published November 5, 2019
| Submitted
Journal Article
Open
Singular solutions to a semilinear biharmonic equation with a general critical nonlinearity
- Creators
-
Frank, Rupert L.
- König, Tobias
Abstract
We consider positive solutions u of the semilinear biharmonic equation Δ²u = |x|−^(n+4)/2g(|x|^(n−4)/2u) in R^n∖{0} with non-removable singularities at the origin. Under natural assumptions on the nonlinearity g, we show that |x|^(n−4)/2u is a periodic function of ln|x| and we classify all such solutions.
Additional Information
© 2019 EMS Publishing House. Published online: 2019-11-05. Partial support through US National Science Foundation grant DMS-1363432 (R.L.F.) and Studienstiftung des deutschen Volkes (T.K.) is acknowledged.Attached Files
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Additional details
- Eprint ID
- 95605
- Resolver ID
- CaltechAUTHORS:20190520-133342030
- DMS-1363432
- NSF
- Studienstiftung des deutschen Volkes
- Created
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2019-05-20Created from EPrint's datestamp field
- Updated
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2021-11-16Created from EPrint's last_modified field