Geodesic
Some properties of the extreme values of infinity-harmonic functions
Electronic journal of differential equations, Tome 2009 (2009)
We study local behavior of infinity-harmonic functions, in particular, the extreme values of such functions on a ball. We show that the extreme values obey certain relationships, and use this to derive an interior growth estimate.
Classification : 35J60, 35J70
Keywords: local behavior, extreme values 
@article{EJDE_2009__2009__a55,
     author = {Bhattacharya,  Tilak},
     title = {Some properties of the extreme values of infinity-harmonic functions},
     journal = {Electronic journal of differential equations},
     year = {2009},
     volume = {2009},
     zbl = {1179.31007},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2009__2009__a55/}
}
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Bhattacharya,  Tilak. Some properties of the extreme values of infinity-harmonic functions. Electronic journal of differential equations, Tome 2009 (2009). http://geodesic.mathdoc.fr/item/EJDE_2009__2009__a55/