Frank, Rupert L.; König, Tobias (2019): Singular solutions to a semilinear biharmonic equation with a general critical nonlinearity. In: Rendiconti Lincei-Matematica E Applicazioni, Vol. 30, No. 4: pp. 817-846 |
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DOI: 10.4171/RLM/871
Abstract
We consider positive solutions u of the semilinear biharmonic equation Delta(2)u = vertical bar x vertical bar(n+4/2) g(vertical bar x vertical bar(n-4/2)u) in R-n\{0} with non-removable singularities at the origin. Under natural assumptions on the nonlinearity g, we show that vertical bar x vertical bar(n-4/2)u is a periodic function of ln vertical bar x vertical bar and we classify all such solutions.
Item Type: | Journal article |
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Faculties: | Mathematics, Computer Science and Statistics > Mathematics |
Subjects: | 500 Science > 510 Mathematics |
ISSN: | 1120-6330 |
Language: | English |
ID Code: | 82401 |
Deposited On: | 15. Dec 2021 15:01 |
Last Modified: | 15. Dec 2021 15:01 |
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