Geodesic
Averaging techniques and oscillation of quasilinear elliptic equations
Zhi-Ting Xu1 ; Bao-Guo Jia2 ; Shao-Yuan Xu2
1Department of Mathematics South China Normal University Guangzhou 510631, P.R. China
2Mathematics and Scientific Computer College Zhongshan University Guangzhou 510275, P.R. China
Annales Polonici Mathematici, Tome 84 (2004) no. 1, pp. 45-54
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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By using averaging techniques, some oscillation criteria for quasilinear elliptic differential equations of second order $$ \sum _{i, j=1}^{N}D_i[A_{ij}(x)|Dy|^{p-2}D_jy]+p(x)f(y)=0 $$ are obtained. These results extend and generalize the criteria for linear differential equations due to Kamenev, Philos and Wong.
DOI : 10.4064/ap84-1-4
Keywords: using averaging techniques oscillation criteria quasilinear elliptic differential equations second order sum a p y obtained these results extend generalize criteria linear differential equations due kamenev philos wong

Zhi-Ting Xu  1   ; Bao-Guo Jia  2   ; Shao-Yuan Xu  2

1 Department of Mathematics South China Normal University Guangzhou 510631, P.R. China
2 Mathematics and Scientific Computer College Zhongshan University Guangzhou 510275, P.R. China 
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Zhi-Ting Xu; Bao-Guo Jia; Shao-Yuan Xu. Averaging techniques and oscillation
 of quasilinear elliptic equations. Annales Polonici Mathematici, Tome 84 (2004) no. 1, pp. 45-54. doi: 10.4064/ap84-1-4

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