Picone-type inequality is established for a class of half-linear elliptic equations with forcing term, and oscillation results are derived on the basis of the Picone-type inequality. Our approach is to reduce the multi-dimensional oscillation problems to one-dimensional oscillation problems for ordinary half-linear differential equations.
Norio Yoshida. "Forced Oscillations of Half-Linear Elliptic Equations via Picone-Type Inequality." Int. J. Differ. Equ. 2010 (SI2) 1 - 9, 2010. https://doi.org/10.1155/2010/520486