Eigenvalue Problems in $\mathrm{L}^\infty$: Optimality Conditions, Duality, and Relations with Optimal Transport

Leon Bungert, Yury Korolev

Research output: Working paper / PreprintPreprint

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Abstract

In this article we characterize the $\mathrm{L}^\infty$ eigenvalue problem associated to the Rayleigh quotient $\left.{\|\nabla u\|_{\mathrm{L}^\infty}}\middle/{\|u\|_\infty}\right.$ {and relate it to a divergence-form PDE, similarly to what is known for $\mathrm{L}^p$ eigenvalue problems and the $p$-Laplacian for $p
Original languageEnglish
Publication statusPublished - 26 Jul 2021

Keywords

  • math.AP
  • math.OC
  • math.SP
  • 26A16, 35P30, 46N10, 47J10, 49R05

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