Symmetry of an integral equation with Bessel potential in \(\mathbb R^n_+\) (Q2836435)
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scientific article; zbMATH DE number 6183126
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Symmetry of an integral equation with Bessel potential in \(\mathbb R^n_+\) |
scientific article; zbMATH DE number 6183126 |
Statements
3 July 2013
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integral equation
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Bessel potential
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moving planes in integral forms
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symmetry
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overdetermined problem
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cylinder type domain
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half space
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positive solution
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Symmetry of an integral equation with Bessel potential in \(\mathbb R^n_+\) (English)
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The authors investigate an integral equation with Bessel potential in \(\mathbb R^n_+\) and prove that every positive solution of this equation is rotationally symmetric about some line parallel to the \(x_n\)-axis. Furthermore, they consider an overdetermined problem of the same integral equation in a cylinder type domain and obtain the symmetry of both domains and solutions.
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