A Liouville-type theorem for the p-Laplacian with potential term
Yehuda Pinchover
Department of Mathematics, Technion – Israel Institute of Technology, Haifa 32000, IsraelAchilles Tertikas
Department of Mathematics, University of Crete, 714 09 Heraklion, GreeceKyril Tintarev
Department of Mathematics, Uppsala University, SE-751 06 Uppsala, Sweden
![A Liouville-type theorem for the p-Laplacian with potential term cover](/_next/image?url=https%3A%2F%2Fcontent.ems.press%2Fassets%2Fpublic%2Fimages%2Fserial-issues%2Fcover-aihpc-volume-25-issue-2.png&w=3840&q=90)
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 (), this condition involves comparison of both the functions and of their gradients.
Cite this article
Yehuda Pinchover, Achilles Tertikas, Kyril Tintarev, A Liouville-type theorem for the p-Laplacian with potential term. Ann. Inst. H. Poincaré Anal. Non Linéaire 25 (2008), no. 2, pp. 357–368
DOI 10.1016/J.ANIHPC.2006.12.004