_{p}(u) + V|u|^{p-2} u = 0 in X, where X is a domain in ℝ^{d}, d ≥ 2 and 1 < p < ∞. We assume that the potential V has a Fuchsian type singularity at a point ζ, where either ζ = ∞ and X is a truncated C^{2}-cone, or ζ = 0 and ζ is either an isolated point of ∂X or belongs to a C^{2}-portion of ∂X.

Published online:

DOI:
10.1142/S1793744211000321

Author's affiliations:

Martin Fraas ^{1};
Yehuda Pinchover ^{1}

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Martin Fraas; Yehuda Pinchover. Positive Liouville theorems and asymptotic behavior for $p$-laplacian type elliptic equations with a Fuchsian potential. Confluentes Mathematici, Volume 3 (2011) no. 2, pp. 291-323. doi : 10.1142/S1793744211000321. https://cml.centre-mersenne.org/articles/10.1142/S1793744211000321/

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