| Issue |
ESAIM: M2AN
Volume 51, Number 6, November-December 2017
|
|
|---|---|---|
| Page(s) | 2465 - 2485 | |
| DOI | https://doi.org/10.1051/m2an/2017033 | |
| Published online | 18 December 2017 | |
FEM for quasilinear obstacle problems in bad domains∗
Dipartimento di Scienze di Base e Applicate per l’Ingegneria, “Sapienza” Università di Roma, Via A. Scarpa 16, 00161 Roma, Italy.
raffaela.capitanelli@uniroma1.it; maria.vivaldi@sbai.uniroma1.it
Received: 15 December 2016
Revised: 5 May 2017
Accepted: 19 June 2017
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.
Mathematics Subject Classification: 28A80 / 35J70 / 65N30
Key words: Fractals / degenerate elliptic equations / FEM
© EDP Sciences, SMAI 2017
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