FEM for quasilinear obstacle problems in bad domains

Author: Capitanelli Raffaela   Vivaldi Maria Agostina  

Publisher: Edp Sciences

E-ISSN: 1290-3841|51|6|2465-2485

ISSN: 0764-583x

Source: ESAIM: Mathematical Modelling and Numerical Analysis, Vol.51, Iss.6, 2017-12, pp. : 2465-2485

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Abstract

We study obstacle problems involving the p-Laplace operator in domains with fractal boundary and the corresponding pre-fractals problems. We obtain error estimates for FEM solutions based on smoothness properties.