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.