On the oscillation of forced second order mixed-nonlinear elliptic equations

Zhiting Xu

Zhiting Xu

Annales Polonici Mathematici, Tome 98 (2010), p. 169-188 / Harvested from The Polish Digital Mathematics Library

Résumé

Oscillation theorems are established for forced second order mixed-nonlinear elliptic differential equations ⎧ ${d i v (A (x) | | \nabla y | |}^{p - 1} {\nabla y) + ⟨ b (x), | | \nabla y | |}^{p - 1} \nabla y ⟩ + C (x, y) = e (x)$ , ⎨ ⎩ $C (x, y) = {c (x) | y |}^{p - 1} y + \sum_{i = 1}^{m} c_{i} (x) {| y |}^{p_{i} - 1} y$ under quite general conditions. These results are extensions of the recent results of Sun and Wong, [J. Math. Anal. Appl. 334 (2007)] and Zheng, Wang and Han [Appl. Math. Lett. 22 (2009)] for forced second order ordinary differential equations with mixed nonlinearities, and include some known oscillation results in the literature

Publié le : 2010-01-01

Zbl 1193.35055

EUDML-ID : urn:eudml:doc:280924

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     title = {On the oscillation of forced second order mixed-nonlinear elliptic equations},
     journal = {Annales Polonici Mathematici},
     volume = {98},
     year = {2010},
     pages = {169-188},
     zbl = {1193.35055},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap98-2-5}
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Zhiting Xu. On the oscillation of forced second order mixed-nonlinear elliptic equations. Annales Polonici Mathematici, Tome 98 (2010) pp. 169-188. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap98-2-5/