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Oscillation Theorems for Nonlinear Second Order Elliptic Equations
Authors:Zhi-ting Xu
Institution:(1) School of Mathematical Sciences, South China Normal University, Guangzhou, 510631, China
Abstract: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.
Keywords:Oscillation  nonlinear  second order elliptic equation  Riccati techniques
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