Akademik Veri Yönetim Sistemi
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, cilt.1, sa.1, ss.1-15, 2024 (SCI-Expanded)
Using the technique of weighted integral averages, known in the oscillation
theory of ordinary differential equations, we obtain new oscillation
criteria for the non-linear partial differential equation%
\begin{equation*}
div\left( \frac{\left\Vert \nabla y\right\Vert ^{p-2}\nabla y}{\left(
1+\left\Vert \nabla y\right\Vert ^{p}\right) ^{\frac{p-1}{p}}}\right)
+f\left( u\right) \frac{\left\vert y\right\vert ^{p-2}y}{\left( 1-\left\vert
y\right\vert ^{p}\right) ^{\frac{p-1}{p}}}=0\text{, }p>1\text{ and }u\geq
u_{0}\text{,}
\end{equation*}%
on unbounded domains.