Besov regularity for solutions of p-harmonic equations

We establish the higher fractional differentiability of the solutions to nonlinear elliptic equations in divergence form, i.e., div⁡𝒜⁢(x,D⁢u)=div⁡F,{\operatorname{div}\mathcal{A}(x,Du)=\operatorname{div}F,} when 𝒜{\mathcal{A}} is a p-harmonic type operator, and under the assumption that x↦𝒜⁢(x,ξ){x\...

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Bibliographic Details
Main Authors: Clop Albert, Giova Raffaella, Passarelli di Napoli Antonia
Format: Article
Language:English
Published: De Gruyter 2017-09-01
Series:Advances in Nonlinear Analysis
Subjects:
Online Access:https://doi.org/10.1515/anona-2017-0030