A note on non-negative singular infinity-harmonic functions in the half-space.
Bhattacharya, Tilak
Revista Matemática de la Universidad Complutense de Madrid, Tome 18 (2005), p. 377-385 / Harvested from Biblioteca Digital de Matemáticas
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In this work we study non-negative singular infinity-harmonic functions in the half-space. We assume that solutions blow-up at the origin while vanishing at infinity and on a hyperplane. We show that blow-up rate is of the order |x|-1/3.

Publié le : 2005-01-01
DMLE-ID : 1009 
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     title = {A note on non-negative singular infinity-harmonic functions in the half-space.},
     journal = {Revista Matem\'atica de la Universidad Complutense de Madrid},
     volume = {18},
     year = {2005},
     pages = {377-385},
     zbl = {1170.35428},
     mrnumber = {MR2166516},
     language = {en},
     url = {http://dml.mathdoc.fr/item/urn:eudml:doc:38175}
}

Bhattacharya, Tilak. A note on non-negative singular infinity-harmonic functions in the half-space.. Revista Matemática de la Universidad Complutense de Madrid, Tome 18 (2005) pp. 377-385. http://gdmltest.u-ga.fr/item/urn:eudml:doc:38175/