IJPAM: Volume 72, No. 2 (2011)

PICONE-TYPE IDENTITIES AND INEQUALITIES FOR
GENERAL QUASILINEAR ELLIPTIC EQUATIONS.
PART II: COMPARISON RESULTS AND EXTENSION TO
SOME NON AUTONOMOUS EQUATIONS

Tadie
Mathematics Institut
5, Universitetsparken 5, 2100, Copenhagen, DENMARK


Abstract. In Part I we saw that when the main coefficients $a(x) $ and $c(x)$ fulfil the conditions (1.7) for the equation (1.2) or the conditions (1.7) and (2.1) for the equation (1.1) (see [#!t0!#]), the oscillation of the solutions of those equations follows.

In this part, we show using some comparison results how, those results can be extended to more general equations via some minor hypotheses on the added terms including some non autonomous cases.

Received: March 2, 2011

AMS Subject Classification: 35J60, 35J70

Key Words and Phrases: Picone's identity, quasilinear elliptic equations

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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2011
Volume: 72
Issue: 2