Averaging techniques and oscillation of quasilinear elliptic equations

• Autorzy: Zhi-Ting Xu , Bao-Guo Jia , Shao-Yuan Xu
• Języki publikacji: EN

Abstrakty

EN

By using averaging techniques, some oscillation criteria for quasilinear elliptic differential equations of second order
$∑_{i,j=1}^{N} D_i[A_{ij}(x)|Dy|^{p-2}D_jy] + p(x)f(y) = 0$
are obtained. These results extend and generalize the criteria for linear differential equations due to Kamenev, Philos and Wong.

Kategorie tematyczne

• 34C10: Oscillation theory, zeros, disconjugacy and comparison theory
• 35J60: Nonlinear elliptic equations
• 35B05: Oscillation, zeros of solutions, mean value theorems, etc.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2004
• Tom: 84
• Numer: 1
• Strony: 45-54

Daty

wydano

2004

Twórcy

autor

Zhi-Ting Xu

• Department of Mathematics, South China Normal University, Guangzhou 510631, P.R. China

autor

Bao-Guo Jia

• Mathematics and Scientific Computer College, Zhongshan University, Guangzhou 510275, P.R. China

autor

Shao-Yuan Xu

• Mathematics and Scientific Computer College, Zhongshan University, Guangzhou 510275, P.R. China

Identyfikatory

DOI

10.4064/ap84-1-4