Biharmonic Problem in the half-space with traces in weighted Sobolev spaces
Résumé
In this paper, we study the biharmonic equation in the half-space $\mathbb{R^N_+})$, with $N \geq 2$. We prove in $L^p$ theory, with $1 < p < \infty$, existence, uniqueness and regularity results; then we are interested in singular boundary conditions. We consider data and give solutions which live in weighted Sobolev spaces.
Origine : Fichiers produits par l'(les) auteur(s)
Loading...