The third boundary value problem for the Poisson equation (Q1272292)
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scientific article; zbMATH DE number 1228282
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The third boundary value problem for the Poisson equation |
scientific article; zbMATH DE number 1228282 |
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The third boundary value problem for the Poisson equation (English)
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7 July 1999
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In the third boundary value problem it is required to find a solution of the equation \(\Delta u=-1\) with the boundary conditions \(u+\beta{\partial u/\partial n}= 0\), \(\beta>0\). We show how to obtain isoperimetric estimates for the solution of this problem in a plane convex domain \(D\) with sufficiently smooth boundary \(\Gamma\).
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isoperimetric estimates
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plane convex domain
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