# Averaging techniques and oscillation of quasilinear elliptic equations

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

Annales Polonici Mathematici (2004)

- Volume: 84, Issue: 1, page 45-54
- ISSN: 0066-2216

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topZhi-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 -

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