Geodesic
FEM for quasilinear obstacle problems in bad domains
Capitanelli, Raffaela1  ; Vivaldi, Maria Agostina1
1 Dipartimento di Scienze di Base e Applicate per l’Ingegneria, “Sapienza” Università di Roma, Via A. Scarpa 16, 00161 Roma, Italy.
ESAIM: Mathematical Modelling and Numerical Analysis , Tome 51 (2017) no. 6, pp. 2465-2485

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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.

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Accepté le :
DOI : 10.1051/m2an/2017033
Classification : 28A80, 35J70, 65N30
Keywords: Fractals, degenerate elliptic equations, FEM

Capitanelli, Raffaela 1 ; Vivaldi, Maria Agostina 1

1 Dipartimento di Scienze di Base e Applicate per l’Ingegneria, “Sapienza” Università di Roma, Via A. Scarpa 16, 00161 Roma, Italy. 
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     title = {FEM for quasilinear obstacle problems in bad domains},
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     publisher = {EDP-Sciences},
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Capitanelli, Raffaela; Vivaldi, Maria Agostina. FEM for quasilinear obstacle problems in bad domains. ESAIM: Mathematical Modelling and Numerical Analysis , Tome 51 (2017) no. 6, pp. 2465-2485. doi: 10.1051/m2an/2017033

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