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Some properties for eigenvalues and eigenfunctions of a class of linear weighted problems - MaRDI portal

Some properties for eigenvalues and eigenfunctions of a class of linear weighted problems (Q2467875)

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Some properties for eigenvalues and eigenfunctions of a class of linear weighted problems
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    Some properties for eigenvalues and eigenfunctions of a class of linear weighted problems (English)
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    29 January 2008
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    The eigenvalue problem associated to a class of elliptic equations with Dirichlet boundary conditions is considered. Sharp estimates for the first eigenvalue and the corresponding eigenfunction of such a problem are obtained.
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    Gaussian rearrangement
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    linear elliptic equations
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    isoperimetric inequalities
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    eigenfunctions
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