Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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Oscillation of Certain Second Order Damped Quasilinear Elliptic Equations via the Weighted Averages

  • Xia, Yong (Department of Applied Mathematics, Dongguan Institute of Technology) ;
  • Xu, Zhiting (School of Mathematical Sciences, South China Normal University)
  • Received : 2005.08.16
  • Published : 2007.06.23
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Abstract

By using the weighted averaging techniques, we establish oscillation criteria for the second order damped quasilinear elliptic differential equation $$\sum_{i,j=1}^{N}D_i(a_{ij}(x){\parallel}Dy{\parallel}^{p-2}D_jy)+{\langle}b(x),\;{\parallel}Dy{\parallel}^{p-2}Dy{\rangle}+c(x)f(y)=0,\;p>1$$. The obtained theorems include and improve some existing ones for the undamped halflinear partial differential equation and the semilinear elliptic equation.

Keywords

References

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