Geodesic
Positive Liouville theorems and asymptotic behavior for p-laplacian type elliptic equations with a Fuchsian potential
Confluentes Mathematici, Tome 3 (2011) no. 2, pp. 291-323

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We study positive Liouville theorems and the asymptotic behavior of positive solutions of p-Laplacian type elliptic equations of the form -Δp(u) + V|u|p-2 u = 0 in X, where X is a domain in ℝd, 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 C2-cone, or ζ = 0 and ζ is either an isolated point of ∂X or belongs to a C2-portion of ∂X.

Publié le :
DOI : 10.1142/S1793744211000321

Fraas, Martin 1 ; Pinchover, Yehuda 1

1 
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Fraas, Martin; Pinchover, Yehuda. Positive Liouville theorems and asymptotic behavior for $p$-laplacian type elliptic equations with a Fuchsian potential. Confluentes Mathematici, Tome 3 (2011) no. 2, pp. 291-323. doi: 10.1142/S1793744211000321

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