The inhomogeneous \(p\)-Laplacian equation with Neumann boundary conditions in the limit \(p\to \infty \)

DOI10.1186/s13662-023-03754-8OpenAlexW4318309087MaRDI QIDQ2681444

Leon Bungert

Publication date: 3 February 2023

Published in: Advances in Continuous and Discrete Models (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2112.07401

zbMATH Keywords

viscosity solution\(p\)-LaplacianWasserstein distanceoptimal transportinfinity Laplacian

Mathematics Subject Classification ID

Weak solutions to PDEs (35D30) Viscosity solutions to PDEs (35D40) Optimal transportation (49Q22)

Related Items (2)

Eigenvalue problems in 𝐿^{∞}: optimality conditions, duality, and relations with optimal transport ⋮ The convergence rate of p -harmonic to infinity-harmonic functions

Cites Work

• The Neumann problem for the \(\infty\)-Laplacian and the Monge--Kantorovich mass transfer problem
• Functional analysis, Sobolev spaces and partial differential equations
• A \(p\)-Laplacian approximation for some mass optimization problems
• The \(\infty\)-eigenvalue problem
• Large solutions to quasilinear problems involving the \(p\)-Laplacian as \(p\) diverges
• The Neumann eigenvalue problem for the \(\infty\)-Laplacian
• The limit as \(p \rightarrow \infty\) for the \(p\)-Laplacian with mixed boundary conditions and the mass transport problem through a given window
• Regularity of the \(p\)-Poisson equation in the plane
• On viscosity and weak solutions for non-homogeneous \(p\)-Laplace equations
• Mass transport problems obtained as limits of p-Laplacian type problems with spatial dependence
• The \infty eigenvalue problem and a problem of optimal transportation
• User’s guide to viscosity solutions of second order partial differential equations
• Differential equations methods for the Monge-Kantorovich mass transfer problem
• Notes on the Stationary p-Laplace Equation
• Imaging with Kantorovich--Rubinstein Discrepancy
• Asymptotic behaviour of nonlinear eigenvalue problems involving $p$-Laplacian-type operators
• Eigenvalue problems in 𝐿^{∞}: optimality conditions, duality, and relations with optimal transport
• Unnamed Item

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