Singular boundary conditions and regularity for the biharmonic problem in the half-space

Chérif Amrouche (1) , Yves Raudin (1)

1 LMAP - Laboratoire de Mathématiques et de leurs Applications [Pau]

In this paper, we are interested in some aspects of the biharmonic equation in the half-space $\R^N_+$, with $N\geq 2$. We study the regularity of generalized solutions in weighted Sobolev spaces, then we consider the question of singular boundary conditions. To finish, we envisage other sorts of boundary conditions.

Domaines: Equations aux dérivées partielles [math.AP]

Chérif Amrouche, Yves Raudin. Singular boundary conditions and regularity for the biharmonic problem in the half-space. 2008. ⟨hal-00206217⟩