Bounds on the principal frequency of the \(p\)-Laplacian (Q2825881)
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scientific article; zbMATH DE number 6638640
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Bounds on the principal frequency of the \(p\)-Laplacian |
scientific article; zbMATH DE number 6638640 |
Statements
13 October 2016
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inradius
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\(p\)-Laplacian
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principal frequency
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nodal set
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capacity
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interior capacity radius
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math.SP
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0.92894787
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0.92553866
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0.9079273
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0.90432906
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0.8982756
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0.89268625
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0.8884327
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0.88070077
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0.8789992
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0.8761741
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Bounds on the principal frequency of the \(p\)-Laplacian (English)
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In this paper, the author obtains some lower bounds for the principal frequency of the \(p\)-Laplacian involving the inradius of planar domains. The size of the nodal set of an eigenfunction of the \(p\)-Laplacian is also discussed in the planar case and in the inradius in higher dimensions.NEWLINENEWLINEThese results extend previous ones of the case \(p=2\) for the Laplace operator.NEWLINENEWLINEFor the entire collection see [Zbl 1304.58001].
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