A Liouville-type theorem for the p-Laplacian with potential term |
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| Authors: | Yehuda Pinchover Achilles Tertikas Kyril Tintarev |
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| Institution: | 1. Department of Mathematics, Technion – Israel Institute of Technology, Haifa 32000, Israel;2. Department of Mathematics, University of Crete, 714 09 Heraklion, Greece;3. Department of Mathematics, Uppsala University, SE-751 06 Uppsala, Sweden |
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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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| Keywords: | primary 35J10 secondary 35B05 |
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