A note on non-negative singular infinity-harmonic functions in the half-space.

Tilak Bhattacharya

Revista Matemática Complutense (2005)

  • Volume: 18, Issue: 2, page 377-385
  • ISSN: 1139-1138

Abstract

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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.

How to cite

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Bhattacharya, Tilak. "A note on non-negative singular infinity-harmonic functions in the half-space.." Revista Matemática Complutense 18.2 (2005): 377-385. <http://eudml.org/doc/38175>.

@article{Bhattacharya2005,
abstract = {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.},
author = {Bhattacharya, Tilak},
journal = {Revista Matemática Complutense},
keywords = {Ecuaciones diferenciales elípticas; Función armónica; Viscosidad; Infinito},
language = {eng},
number = {2},
pages = {377-385},
title = {A note on non-negative singular infinity-harmonic functions in the half-space.},
url = {http://eudml.org/doc/38175},
volume = {18},
year = {2005},
}

TY - JOUR
AU - Bhattacharya, Tilak
TI - A note on non-negative singular infinity-harmonic functions in the half-space.
JO - Revista Matemática Complutense
PY - 2005
VL - 18
IS - 2
SP - 377
EP - 385
AB - 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.
LA - eng
KW - Ecuaciones diferenciales elípticas; Función armónica; Viscosidad; Infinito
UR - http://eudml.org/doc/38175
ER -

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