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arxiv: 1504.07403 · v1 · pith:6H36KF47new · submitted 2015-04-28 · 🧮 math.AP

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

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keywords eigenvaluesoperatorp-laplacevariationalansweringauxiliarybehaviorboundary
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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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