The first eigenvalue and eigenfunction of a nonlinear elliptic system (Q2273043)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The first eigenvalue and eigenfunction of a nonlinear elliptic system |
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The first eigenvalue and eigenfunction of a nonlinear elliptic system (English)
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18 September 2019
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The principal eigenvalue and eigenfunctions of an elliptic system involving the \(p\)-Laplace operator are analysed analytically and numerically. Indeed, besides an alternative proof for the simplicity of the first eigenvalue of the system, a numerical algorithm to compute approximate principal eigenvalues and corresponding eigenfunctions is presented. The algorithm is applied to several concrete cases.
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nonlinear elliptic system
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\(p\)-Laplacian
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eigenvalue problem
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simplicity
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numerical approximation
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