ORCID: https://orcid.org/0000-0001-7973-4688 and 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
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 > Analysis, Mathematical Physics and Numerics |
Subjects: | 500 Science > 510 Mathematics |
ISSN: | 1120-6330 |
Language: | English |
Item ID: | 82401 |
Date Deposited: | 15. Dec 2021, 15:01 |
Last Modified: | 13. Aug 2024, 12:43 |