Averaging techniques and oscillation of quasilinear elliptic equations

Zhi-Ting Xu, Bao-Guo Jia, and Shao-Yuan Xu. "Averaging techniques and oscillation of quasilinear elliptic equations." Annales Polonici Mathematici 84.1 (2004): 45-54. <http://eudml.org/doc/280653>.

@article{Zhi2004,
abstract = {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.},
author = {Zhi-Ting Xu, Bao-Guo Jia, Shao-Yuan Xu},
journal = {Annales Polonici Mathematici},
keywords = {oscillation; quasilinear elliptic equation; second order; averaging technique},
language = {eng},
number = {1},
pages = {45-54},
title = {Averaging techniques and oscillation of quasilinear elliptic equations},
url = {http://eudml.org/doc/280653},
volume = {84},
year = {2004},
}

TY - JOUR
AU - Zhi-Ting Xu
AU - Bao-Guo Jia
AU - Shao-Yuan Xu
TI - Averaging techniques and oscillation of quasilinear elliptic equations
JO - Annales Polonici Mathematici
PY - 2004
VL - 84
IS - 1
SP - 45
EP - 54
AB - 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.
LA - eng
KW - oscillation; quasilinear elliptic equation; second order; averaging technique
UR - http://eudml.org/doc/280653
ER -