Boundary Harnack principle for \(p\)-harmonic functions in smooth Euclidean domains (Q874893)
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scientific article; zbMATH DE number 5141547
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Boundary Harnack principle for \(p\)-harmonic functions in smooth Euclidean domains |
scientific article; zbMATH DE number 5141547 |
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Boundary Harnack principle for \(p\)-harmonic functions in smooth Euclidean domains (English)
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10 April 2007
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The main result of the paper is the boundary Harnack principle for \(p\)-harmonic functions on bounded \(C^{1,1}\) domains. The authors also study the behaviour of positive \(p\)-harmonic functions near the boundary. The uniqueness theorem for nonnegative \(p\)-superharmonic functions is also proved.
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boundary Harnack principle
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\(p\)-Laplacian
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ball conditions
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conformal Martin boundary
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