Averaging techniques and oscillation of quasilinear elliptic equations

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

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

Annales Polonici Mathematici, Tome 83 (2004), p. 45-54 / Harvested from The Polish Digital Mathematics Library

Résumé

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

Publié le : 2004-01-01

Zbl 1144.35322

EUDML-ID : urn:eudml:doc:280653

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     author = {Zhi-Ting Xu and Bao-Guo Jia and Shao-Yuan Xu},
     title = {Averaging techniques and oscillation of quasilinear elliptic equations},
     journal = {Annales Polonici Mathematici},
     volume = {83},
     year = {2004},
     pages = {45-54},
     zbl = {1144.35322},
     language = {en},
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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 83 (2004) pp. 45-54. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap84-1-4/