Elliptic Singular Fourth Order Equations

Mohammed Benalili (1) , Kamel Tahri (1)

1 LSDA - Laboratoire Systèmes Dynamiques et Applications

Using a method developped in [1] and [2], we prove the existence of weak non trivial solutions to fourth order elliptic equations with singularities and with critical Sobolev growth.

Domaines: Géométrie différentielle [math.DG]

Mohammed Benalili, Kamel Tahri. Elliptic Singular Fourth Order Equations. 2012. ⟨hal-00747828⟩