Structural analysis of an \(L\)-infinity variational problem and relations to distance functions

DOI10.2140/paa.2020.2.703zbMath1462.35226arXiv2001.07411OpenAlexW3001332551MaRDI QIDQ2020200

Yury Korolev, Martin Burger, Leon Bungert

Publication date: 23 April 2021

Published in: Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.07411

zbMATH Keywords

extreme pointsweighted graphsdistance functionsgradient flowsnonlinear eigenfunctions

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Lipschitz (Hölder) classes (26A16) Nonlinear spectral theory, nonlinear eigenvalue problems (47J10) Distance in graphs (05C12) Variational methods for second-order elliptic equations (35J20) Nonlinear evolution equations (47J35) Variational methods for eigenvalues of operators (49R05)

Related Items (5)

Eigenvalue problems in 𝐿^{∞}: optimality conditions, duality, and relations with optimal transport ⋮ The infinity Laplacian eigenvalue problem: reformulation and a numerical scheme ⋮ Nonlinear eigenvalue problems for seminorms and applications ⋮ Continuum limit of Lipschitz learning on graphs ⋮ Nonlinear Power Method for Computing Eigenvectors of Proximal Operators and Neural Networks

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