A Note on Non-Negative Singular Infinity-Harmonic Functions in the Half-Space

  • Tilak Bhattacharya
DOI: https://doi.org/10.5209/rev_REMA.2005.v18.n2.16682

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.

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Published
2005-09-27
How to Cite
Bhattacharya T. (2005). A Note on Non-Negative Singular Infinity-Harmonic Functions in the Half-Space. Revista Matemática Complutense, 18(2), 377-385. https://doi.org/10.5209/rev_REMA.2005.v18.n2.16682
Issue
Vol. 18 No. 2 (2005)
Section
Articles

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