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Biharmonic Green domains in \(\mathbb{R}^n\) - MaRDI portal

Biharmonic Green domains in \(\mathbb{R}^n\) (Q1277032)

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scientific article; zbMATH DE number 1247677
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Biharmonic Green domains in \(\mathbb{R}^n\)
scientific article; zbMATH DE number 1247677

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    Biharmonic Green domains in \(\mathbb{R}^n\) (English)
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    8 November 2000
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    The authors prove for the biharmonic operator \(\Delta^2\) similar results as being known for \(\Delta\). For example, if \(u\) is bounded biharmonic in \(0< |x|<1\) in \(\mathbb{R}^n\), \(n\geq 4\), then the point singularity at 0 is removable. Other interesting results are proved.
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    Green functions
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    biharmonic operator
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    singularity
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