We study positive Liouville theorems and the asymptotic behavior of positive
solutions of p-Laplacian type elliptic equations of the form Q'(u):= -
pLaplace(u) + V |u|^{p-2} u = 0 in X, where X is a domain in R^d, d > 1, and
1<p<infty. We assume that the potential V has a Fuchsian type singularity at a
point zeta, where either zeta=infty and X is a truncated C^2-cone, or zeta=0
and zeta is either an isolated point of a boundary of X or belongs to a
C^2-portion of the boundary of X.Comment: 39 pages. Stronger results in the radial case, other results and
conclusions are unchanged, considerable restructuring of the paper,
introduction is modified, typos corrected, references adde
