Some properties of the extreme values of infinity-harmonic functions
Electronic Journal of Differential Equations, Tome 2009 (2009).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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
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     author = {Bhattacharya, Tilak},
     title = {Some properties of the extreme values of infinity-harmonic functions},
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     year = {2009},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2009__2009__a155/}
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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__a155/