Electronic Journal of Differential Equations,
Vol. 2011 (2011), No. 151, pp. 1-11.
Title: Oscillation criteria for damped quasilinear second-order
elliptic equations
Author: Tadie (Universitetsparken 5, Copenhagen, Denmark)
Abstract:
In 2010, Yoshida [13] stated that oscillation
criteria for the superlinear-sublinear elliptic equation
equation
$$
\nabla \cdot \big(A(x)\Phi(\nabla v)\big)
+ (\alpha+1)B(x)\cdot\Phi(\nabla v) + C(x) \phi_\beta(v)
+ D(x) \phi_\gamma (v)=f(x)
$$
were not known.
In this article, we provide some answers to this question
using boundedness conditions on the coefficients of half-linear
quasilinear elliptic equations. This is obtained by using some
comparison methods and Picone-type formulas.
Submitted July 21, 2011. Published November 08, 2011.
Math Subject Classifications: 34C10, 34K15, 35J70.
Key Words: Picone; oscillation criteria for half-linear elliptic equations.