Singular solutions to a semilinear biharmonic equation with a general critical nonlinearity
Résumé
We consider positive solutions u of the semilinear biharmonic equation ∆^2 u = |x|^-(n+4)/2 g(IxI^(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 |x|^(n-4)2 u is a periodic function of ln |x| and we classify all such solutions.
Domaines
Mathématiques [math]
Origine : Fichiers produits par l'(les) auteur(s)