Eigenvalue homogenisation problem with indefinite weights (Q2786584)

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scientific article; zbMATH DE number 6541568
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Eigenvalue homogenisation problem with indefinite weights
scientific article; zbMATH DE number 6541568

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    15 February 2016
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    \(p\)-Laplace-type problems
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    indefinite weights
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    Eigenvalue homogenisation problem with indefinite weights (English)
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    The authors study an eigenvalue homogenisation problem for a particular class of \(p\)-Laplace equations with sign-changing weights. They show that the \(k\)-ith positive eigenvalue goes to infinite where the average of the weights is non-positive and converges to the \(k\)-th variational eigenvalue of the limit problem (when the average is positive for any \(k\geq 0\)).
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