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About a Liouville comparison principle for entire weak solutions of quasilinear elliptic partial differential inequalities

Published online by Cambridge University Press:  30 July 2007

Vasilii V. Kurta
Vasilii V. Kurta
Affiliation:
Mathematical Reviews, American Mathematical Society, 416 Fourth Street, PO Box 8604, Ann Arbor, MI 48107-8604, USA (vvk@ams.org)
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Abstract

We establish a new Liouville-type comparison principle for entire weak solutions of quasilinear elliptic partial differential inequalities of the form A(u) ≤ A(v) on Rn, n ≥ 2. Typical examples of the operator A(w) are the p-Laplacian and its well-known modifications for 1 < p ≤ 2.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 136 , Issue 3 , June 2006 , pp. 547 - 557
Copyright
Copyright © Royal Society of Edinburgh 2006

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