A Lower Bound for the Gradient of ∞-Harmonic Functions
Date
1996-02-06
Authors
Rosset, Edi
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
Abstract
We establish a lower bound for the gradient of the solution to infinity-Laplace equation in a strongly star-shaped annulus with capacity type boundary conditions. The proof involves properties of the radial derivative of the solution, so that starshapedness of level sets easily follows.
Description
Keywords
Infinity-harmonic functions, p-Harmonic functions
Citation
Rosset, E. (1996). A lower bound for the gradient of ∞-Harmonic functions. <i>Electronic Journal of Differential Equations, 1996</i>(02), pp. 1-9.
Rights
Attribution 4.0 International