A Liouville-type theorem for the p-Laplacian with potential term
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In this paper we prove a sufficient condition, in terms of the behavior of a ground state of a singular p-Laplacian problem with a potential term, such that a nonzero subsolution of another such problem is also a ground state. Unlike in the linear case (p=2), this condition involves comparison of both the functions and of their gradients.
20 pages, some examples and remarks were added, few misprints were corrected
20 pages, some examples and remarks were added, few misprints were corrected