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A Liouville-type theorem for the p-Laplacian with potential term
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics.
2008 (English)In: Annales de l'Institut Henri Poincare. Analyse non linéar, ISSN 0294-1449, Vol. 25, no 2, 357-368 p.Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
2008. Vol. 25, no 2, 357-368 p.
Keyword [en]
p-Laplacian, ground state, Liouville theorem, positive solution
National Category
Mathematics
Identifiers
URN: urn:nbn:se:uu:diva-110443DOI: 10.1016/j.anihpc.2006.12.004ISI: 000254748400009OAI: oai:DiVA.org:uu-110443DiVA: diva2:277228
Available from: 2009-11-16 Created: 2009-11-16 Last updated: 2010-01-12Bibliographically approved

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