Harnack inequality for \(p\)-Laplacians associated to homogeneous \(p\)-Lagrangians (Q869822)

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scientific article; zbMATH DE number 5132537
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Harnack inequality for \(p\)-Laplacians associated to homogeneous \(p\)-Lagrangians
scientific article; zbMATH DE number 5132537

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    Harnack inequality for \(p\)-Laplacians associated to homogeneous \(p\)-Lagrangians (English)
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    9 March 2007
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    The author considers \(p\)-Laplacians associated to homogeneous \(p\)-Lagrangians and the associated nonlinear energy forms. By using the approach of the metric fractals, in Section 3 the Harnack inequality for metric fractals whose homogeneous dimension is less than \(p\) is proved. Further there are presented some concrete examples of fractals where the proved results can be applied. The paper is very well written and the subject is actual.
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    fractal
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    metric fractal
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    self-similar structures
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    variational fractal
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