Frank, Rupert L. and König, Tobias (2019) Singular solutions to a semilinear biharmonic equation with a general critical nonlinearity. . (Unpublished) http://resolver.caltech.edu/CaltechAUTHORS:20190520-133342030
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Abstract
We consider positive solutions u of the semilinear biharmonic equation Δ2^u = |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.
| Item Type: | Report or Paper (Discussion Paper) | ||||||
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| Additional Information: | © 2019 by the authors. This paper may be reproduced, in its entirety, for non-commercial purposes. Partial support through US National Science Foundation grant DMS-1363432 (R.L.F.) and Studienstiftung des deutschen Volkes (T.K.) is acknowledged. | ||||||
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| Record Number: | CaltechAUTHORS:20190520-133342030 | ||||||
| Persistent URL: | http://resolver.caltech.edu/CaltechAUTHORS:20190520-133342030 | ||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||
| ID Code: | 95605 | ||||||
| Collection: | CaltechAUTHORS | ||||||
| Deposited By: | Tony Diaz | ||||||
| Deposited On: | 20 May 2019 20:37 | ||||||
| Last Modified: | 20 May 2019 20:37 |
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