Abstract
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.
Citation
Tilak Bhattacharya. "Some observations on the local behaviour of infinity-harmonic functions." Differential Integral Equations 19 (8) 945 - 960, 2006. https://doi.org/10.57262/die/1356050342
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