The \(N\)-Laplacian elliptic equation: Variational versus entropy solutions (Q1922955)
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scientific article; zbMATH DE number 930218
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The \(N\)-Laplacian elliptic equation: Variational versus entropy solutions |
scientific article; zbMATH DE number 930218 |
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The \(N\)-Laplacian elliptic equation: Variational versus entropy solutions (English)
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13 November 1996
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The paper deals with the homogeneous Dirichlet problem in a bounded \(N\)-dimensional domain for the nonlinear \(N\)-Laplacian when the second member is assumed to be merely integrable. The standard concept of a variational (or energy) solution is compared with the concept of an entropy solution. The conditions on the second member, under which the solutions are bounded, are also discussed.
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variational solutions
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bounded solutions
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entropy solution
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