THE GEL'FAND PROBLEM FOR THE BIHARMONIC OPERATOR

Louis Dupaigne (1) , Olivier Goubet (1) , Guillaume Warnault (2) , Marius Ghergu (3)

1 LAMFA - Laboratoire Amiénois de Mathématique Fondamentale et Appliquée
2 LMAP - Laboratoire de Mathématiques et de leurs Applications [Pau]
3 School of Mathematical Sciences [Dublin]

We study stable solutions of a fourth order nonlinear elliptic equation, both in entire space and in bounded domains.

Domaines: Equations aux dérivées partielles [math.AP]

Louis Dupaigne, Olivier Goubet, Guillaume Warnault, Marius Ghergu. THE GEL'FAND PROBLEM FOR THE BIHARMONIC OPERATOR. 2012. ⟨hal-00718182v1⟩