Estimates for smooth absolutely minimizing Lipschitz extensions
Date
1993-10-12
Authors
Evans, Lawrence C.
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
Abstract
I 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.
Description
Keywords
Lipschitz extensions, Harnack inequalities
Citation
Evans, L. C. (1993). Estimates for smooth absolutely minimizing Lipschitz extensions. Electronic Journal of Differential Equations, 1993(03), pp. 1-9.
Rights
Attribution 4.0 International