Differential and Integral Equations
- Differential Integral Equations
- Volume 19, Number 8 (2006), 945-960.
Some observations on the local behaviour of infinity-harmonic functions
We study some aspects of the local behaviour of infinity-harmonic functions. We study one-sided radial derivatives at points of extrema on the boundary of concentric balls and relate it to some issues in differentiability. In particular we show differentiability of these functions at such points of extrema. We use convexity and the Harnack inequality to obtain our results.
Differential Integral Equations, Volume 19, Number 8 (2006), 945-960.
First available in Project Euclid: 21 December 2012
Permanent link to this document
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 35J60: Nonlinear elliptic equations
Secondary: 26A24: Differentiation (functions of one variable): general theory, generalized derivatives, mean-value theorems [See also 28A15] 31C05: Harmonic, subharmonic, superharmonic functions 35J70: Degenerate elliptic equations
Bhattacharya, Tilak. Some observations on the local behaviour of infinity-harmonic functions. Differential Integral Equations 19 (2006), no. 8, 945--960. https://projecteuclid.org/euclid.die/1356050342