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arXiv · 1504.07403

On the dependence on p of the variational eigenvalues of the p-Laplace operator

Marco Degiovanni·Marco Marzocchi
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Abstract

We study the behavior of the variational eigenvalues of the p-Laplace operator, with homogeneous Dirichlet boundary condition, when p is varying. After introducing an auxiliary problem, we characterize the continuity answering, in particular, a question raised in [Lindqvist, 1993].

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Marco Degiovanni, Marco Marzocchi. 2015-04-28. On the dependence on p of the variational eigenvalues of the p-Laplace operator. https://doi.org/10.1007/s11118-015-9487-0

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