Positive Liouville theorems and asymptotic behavior for p-Laplacian type elliptic equations with a Fuchsian potential

Details Positive Liouville theorems and asymptotic behavior for p-Laplacian type elliptic equations with a Fuchsian potential Positive Liouville theorems and asymptotic behavior for p-Laplacian type elliptic equations with a Fuchsian potential

2010-03-29

arxiv.org/abs/1003.5452v2

Mathematics

Analysis of PDEs

39 pages. Stronger results in the radial case, other results and conclusions are unchanged, considerable restructuring of the

Scientific paper

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

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