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- W2045136616 abstract "The first nontrivial eigenfunction of the Neumann eigenvalue problem for the $p$-Laplacian, suitably normalized, converges to a viscosity solution of an eigenvalue problem for the $infty$-Laplacian as $p to infty$. We show among other things that the limiting eigenvalue, at least for convex sets, is in fact the first nonzero eigenvalue of the limiting problem. We then derive a number of consequences, which are nonlinear analogues of well-known inequalities for the linear (2-)Laplacian." @default.
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- W2045136616 date "2015-01-01" @default.
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- W2045136616 title "The Neumann eigenvalue problem for the $infty$-Laplacian" @default.
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- W2045136616 doi "https://doi.org/10.4171/rlm/697" @default.
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