JournalsaihpcVol. 25, No. 2pp. 357–368

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

  • Yehuda Pinchover

    Department of Mathematics, Technion – Israel Institute of Technology, Haifa 32000, Israel

  • Achilles Tertikas

    Department of Mathematics, University of Crete, 714 09 Heraklion, Greece

  • Kyril Tintarev

    Department of Mathematics, Uppsala University, SE-751 06 Uppsala, Sweden
A Liouville-type theorem for the p-Laplacian with potential term cover
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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 (), 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