Evans, Lawrence C.2018-08-162018-08-161993-10-12Evans, L. C. (1993). Estimates for smooth absolutely minimizing Lipschitz extensions. <i>Electronic Journal of Differential Equations, 1993</i>(03), pp. 1-9.1072-6691https://hdl.handle.net/10877/7537I present some elementary maximum principle arguments, establishing interior gradient bounds and Harnack inequalities for both u and |Du|, where u is a smooth solution of the degenerate elliptic PDE ∆∞u = 0. These calculations in particular extend to higher dimensions G. Aronsson’s assertion [2] that a nonconstant, smooth solution can have no interior critical point.Text9 pages1 file (.pdf)enAttribution 4.0 InternationalLipschitz extensionsHarnack inequalitiesArticle