Logo Logo
Hilfe
Hilfe
Switch Language to English

Frank, Rupert L. ORCID logoORCID: https://orcid.org/0000-0001-7973-4688 und König, Tobias (2019): Singular solutions to a semilinear biharmonic equation with a general critical nonlinearity. In: Rendiconti Lincei-Matematica E Applicazioni, Bd. 30, Nr. 4: S. 817-846

Volltext auf 'Open Access LMU' nicht verfügbar.

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.

Dokument bearbeiten Dokument bearbeiten