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Sign change for the Green function and for the first eigenfunction of equations of clamped-plate type - MaRDI portal

Sign change for the Green function and for the first eigenfunction of equations of clamped-plate type (Q1968696)

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scientific article; zbMATH DE number 1419580
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Sign change for the Green function and for the first eigenfunction of equations of clamped-plate type
scientific article; zbMATH DE number 1419580

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    Sign change for the Green function and for the first eigenfunction of equations of clamped-plate type (English)
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    26 April 2000
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    This work examines in which situations the Green function of a biharmonic Dirichlet problem (as it appears as equation of clamped-plate type) is sign-preserving. For the second-order Laplace problem, the authors prove that the positivity-preserving property holds for every domain in the \(n\)-dimensional Euclidean space.
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    biharmonic Dirichlet problem
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    Green function
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    equations of clamped-plate type
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    positivity-preserving property
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