## Taiwanese Journal of Mathematics

### OSCILLATION AND NONOSCILLATION OF SOLUTIONS OF PDE WITH $p$−LAPLACIAN

Zhiting Xu

#### Abstract

Some necessary conditions are established for the nonoscillation of the following PDE with $p-$Laplacian \begin{equation*} \mbox{div}(\|\nabla y\|^{p-2}\nabla y)+c(x)|y|^{p-2}y=0. \end{equation*} Using these results, we obtain some oscillation criteria for the above equation.

#### Article information

Source
Taiwanese J. Math., Volume 13, Number 6B (2009), 2037-2049.

Dates
First available in Project Euclid: 18 July 2017

https://projecteuclid.org/euclid.twjm/1500405656

Digital Object Identifier
doi:10.11650/twjm/1500405656

Mathematical Reviews number (MathSciNet)
MR2583536

Zentralblatt MATH identifier
1196.35095

Subjects
Primary: 35J60: Nonlinear elliptic equations 34C35 34K25: Asymptotic theory

#### Citation

Xu, Zhiting. OSCILLATION AND NONOSCILLATION OF SOLUTIONS OF PDE WITH $p$−LAPLACIAN. Taiwanese J. Math. 13 (2009), no. 6B, 2037--2049. doi:10.11650/twjm/1500405656. https://projecteuclid.org/euclid.twjm/1500405656

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