摘要
By using vector Riccati transformation and averaging technique, some oscillation criteria for the quasilinear elliptic differential equation of second order,ΣNi,j=1Di[Ψ（y）Aij（x）｜Dy｜^p-2Djy]＋p（x）f（y）=0,are obtained. These theorems extend and include earlier results for the semilinear elliptic equation and PDE with p-Laplacian.
By using vector Riccati transformation and averaging technique, some oscillation criteria for the quasilinear elliptic differential equation of second order,ΣNi,j=1Di[Ψ（y）Aij（x）｜Dy｜^p-2Djy]＋p（x）f（y）=0,are obtained. These theorems extend and include earlier results for the semilinear elliptic equation and PDE with p-Laplacian.
基金
supported partly by the NsF of China(10571064)
NSF of Guangdong Province(04010364)
