Flegel, Franziska and Heida, Martin
(2020)
*The fractional p-Laplacian emerging from homogenization of the random conductance model with degenerate ergodic weights and unbounded-range jumps.*
Calculus of Variations and Partial Differential Equations, 59
(8).
(Unpublished)

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## Abstract

We study a general class of discrete p-Laplace operators in the random conductance model with long-range jumps and ergodic weights. Using a variational formulation of the problem, we show that under the assumption of bounded �rst moments and a suitable lower moment condition on the weights, the homogenized limit operator is a fractional p-Laplace operator. Under strengthened lower moment conditions, we can apply our insights also to the spectral homogenization of the discrete Laplace operator to the continuous fractional Laplace operator.

Item Type: | Article |
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Additional Information: | Preprint |

Subjects: | Mathematical and Computer Sciences > Mathematics > Applied Mathematics |

Divisions: | Department of Mathematics and Computer Science > Institute of Mathematics |

ID Code: | 2660 |

Deposited By: | Monika Drueck |

Deposited On: | 17 Jan 2022 16:02 |

Last Modified: | 17 Jan 2022 16:02 |

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