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Oscillation Theorems for Nonlinear Second Order Elliptic Equations

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Abstract

Some oscillation theorems are given for the nonlinear second order elliptic equation

$$ {\sum\limits_{i,j = 1}^N {D_{i} {\left[ {a_{{ij}} {\left( x \right)}\Psi {\left( y \right)}{\left\| {\nabla y} \right\|}^{{p - 2}} D_{j} y} \right]}} } + c{\left( x \right)}f{\left( y \right)} = 0. $$

The results are extensions of modified Riccati techniques and include recent results of Usami.

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  1. School of Mathematical Sciences, South China Normal University, Guangzhou, 510631, China

    Zhi-ting Xu

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  1. Zhi-ting Xu
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Xu, Zt. Oscillation Theorems for Nonlinear Second Order Elliptic Equations. Acta Mathematicae Applicatae Sinica, English Series 23, 569–578 (2007). https://doi.org/10.1007/s10255-007-0396

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  • DOI: https://doi.org/10.1007/s10255-007-0396

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