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A Liouville-type theorem for the p-Laplacian with potential term

Yehuda Pinchover·Achilles Tertikas·Kyril Tintarev
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Abstract

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.

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Yehuda Pinchover, Achilles Tertikas, Kyril Tintarev. 2007-02-04. A Liouville-type theorem for the p-Laplacian with potential term. https://arxiv.org/abs/math/0609126

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