Decaying positive solutions of quasilinear elliptic equations in exterior domains in \({\mathbb R}^2\). (Q1856915)
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scientific article; zbMATH DE number 1866686
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Decaying positive solutions of quasilinear elliptic equations in exterior domains in \({\mathbb R}^2\). |
scientific article; zbMATH DE number 1866686 |
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Decaying positive solutions of quasilinear elliptic equations in exterior domains in \({\mathbb R}^2\). (English)
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11 February 2003
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The authors prove the existence of decaying positive solutions to the problem \[ \Delta u + \phi(x,u) + \frac{x.\nabla u}{x^2} = 0 \] in an exterior domain. They use a method of sub/supersolutions and a sub/supersolution of the problem is founded by the Lienard equation.
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