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Harnack Inequality for p-Laplacians on Metric Fractals

Raffaela Capitanelli-2005-12-29-Birkhäuser-Verlag eBooks
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TL;DRAbstract

By using the approach of the metric fractals, we prove a Harnack inequality for non-negative local supersolutions of p-Laplacians — associated to p-Lagrangians — on metric fractals whose homogeneous dimension is less than p.

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By using the approach of the metric fractals, we prove a Harnack inequality for non-negative local supersolutions of p-Laplacians — associated to p-Lagrangians — on metric fractals whose homogeneous dimension is less than p.

Keywords

Harnack's inequalityHarnack's principleMathematicsHomogeneousMetric (unit)FractalPure mathematicsFractal dimension

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