On the high regularity of solutions to the p-Laplacian boundary value problem in exterior domains

Autor:	Crispo, Francesca, Grisanti, CARLO ROMANO, Maremonti, Paolo
Přispěvatelé:	Crispo, Francesca, Grisanti, C. R., Maremonti, Paolo
Jazyk:	angličtina
Rok vydání:	2016
Předmět:	Global regularity p-Laplacian system · Exterior domain · Higher integrability Exterior domain Higher integrability p-Laplacian system Exterior domain Higher integrability Global regularity p-Laplacian system
Popis:	In this note, we consider the boundary value problem in exterior domains for the p-Laplacian system, p ∈ (1, 2). For suitable p and Lr -spaces, r > n, we furnish existence of a high-regular solution that is a solution whose second derivatives belong to L r (Ω ). Hence, in particular we get λ-Hölder continuity of the gradient of the solution, with λ = 1 − n/r. Further, we improve previous results on W2,2-regularity in a bounded domain.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::72103e578bd5dbf3e154d2198882e641 http://hdl.handle.net/11591/231190 Zobrazit plný text záznamu