Semilinear equations in \({\mathbb{R}}^ N\) without condition at infinity (Q1056819)
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scientific article; zbMATH DE number 3895510
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Semilinear equations in \({\mathbb{R}}^ N\) without condition at infinity |
scientific article; zbMATH DE number 3895510 |
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Semilinear equations in \({\mathbb{R}}^ N\) without condition at infinity (English)
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1984
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The results of this paper are typified by the following: if \(1<p<\infty\) and f is locally integrable then there is a unique pth power locally integrable solution of \(-\Delta u+| u|^{p-1}u=f\) on \({\mathbb{R}}^ n\). What is significant is the lack of boundary conditions on u at infinity.
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semilinear equations
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without condition at infinity
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well posed
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0.9112618
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0.9016693
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0.8955079
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0.89489216
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0.89423215
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