Electronic Journal of Differential Equations, 
Vol. 2020 (2020), No. 37, pp. 1-6.

Title: Explicit solutions of Jensen's auxiliary equations via extremal
       Lipschitz extensions

Author: Fernando Charro (Wayne State Univ., Detroit, MI, USA)

Abstract:
 In this note we prove that McShane and Whitney's Lipschitz extensions are
 viscosity solutions of Jensen's auxiliary equations which are
 known to have a key role in Jensen's celebrated proof of uniqueness of infinity
 harmonic functions, and therefore of absolutely minimizing Lipschitz extensions.
 To the best of the author's knowledge, this result does not appear to be known
 in the literature in spite of the vast amount of work on the topic.
 
Submitted July 2, 2019. Published April 23, 2020.
Math Subject Classifications: 35J70, 46T20, 49K20.
Key Words: Lipschitz extension; McShane-Whitney extension; infinity Laplacian.