Eigenvalue problems in 𝐿^{∞}: optimality conditions, duality, and relations with optimal transport

DOI10.1090/cams/11arXiv2107.12117OpenAlexW4306178462MaRDI QIDQ6076656

Yury Korolev, Leon Bungert

Publication date: 17 October 2023

Published in: Communications of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2107.12117

zbMATH Keywords

subdifferentialnonlinear eigenvalue problemLipschitz constantoptimal transportinfinity Laplaciandivergence-measure fields\(\mathrm{L}\) infinity

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) Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10) Variational methods for eigenvalues of operators (49R05)

Related Items (3)

The inhomogeneous \(p\)-Laplacian equation with Neumann boundary conditions in the limit \(p\to \infty \) ⋮ The convergence rate of p -harmonic to infinity-harmonic functions ⋮ The infinity Laplacian eigenvalue problem: reformulation and a numerical scheme

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