Asymptotic behavior of oscillating radial solutions to certain nonlinear equations (Q1021003)
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scientific article; zbMATH DE number 5562037
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Asymptotic behavior of oscillating radial solutions to certain nonlinear equations |
scientific article; zbMATH DE number 5562037 |
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Asymptotic behavior of oscillating radial solutions to certain nonlinear equations (English)
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4 June 2009
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The authors show an accurate asymptotic behaviour of radially symmetric solutions for a certain class of semilinear elliptic equations (involving the Laplace operator) in terms of Bessel functions. Applications of the general result to the Allen-Cahn and thin film equations are given.
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Bessel function
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Allen-Cahn equation
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thin film equation
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oscillation
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