Solvability of a fourth order elliptic problem in a bounded sector, part I
Résumé
The purpose of this article (composed of two parts) is the study of the generalized dispersal operator of a reaction-diffusion equation in L p-spaces set in the finite conical domain Sω,ρ of angle ω > 0 and radius ρ > 0 in R2 . This first part is devoted to the behavior of the solution near the top of the cone which is completely described in the weighted Sobolev space W^{4, p}_{3 − 1/p} (Sω,ρ0 ), ρ0 ≤ ρ, see Theorem 2.2.
Origine : Fichiers produits par l'(les) auteur(s)