First eigenfunctions of the 1-Laplacian are viscosity solutions

Author:

Kawohl Bernd,Schuricht Friedemann

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

Applied Mathematics,Analysis

Reference19 articles.

1. Functions of Bounded Variation and Free Discontinuity Problems,;L. Ambrosio;Oxford University Press,2000

2. Pairings between measures and bounded functions and compensated compactness,;G. Anzellotti;\emph{Ann. Mat. Pura Appl.},1983

3. User's guide to viscosity solutions of second order partial differential equations,;M. Crandall;\emph{Bull. Amer. Math. Soc.},1992

4. Linking solutions for quasilinear equations at critical growth involving the 1-Laplace operator,;M. Degiovanni;\emph{Calc. Var.},2009

5. Measure Theory and Fine Properties of Functions,;L. C. Evans;CRC Press,1992

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1. p-Laplace Operators for Oriented Hypergraphs;Vietnam Journal of Mathematics;2021-10-07

2. On the behavior of 1-Laplacian ratio cuts on nearly rectangular domains;Information and Inference: A Journal of the IMA;2020-12-14

3. The Cheeger constant of curved tubes;Archiv der Mathematik;2019-01-19

4. On the geometry of the p-Laplacian operator;Discrete & Continuous Dynamical Systems - S;2017

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