Some new oscillation criteria for second order elliptic equations with damping

Rong-Kun Zhuang; Zheng-an Yao

Annales Polonici Mathematici, Tome 85 (2005), p. 31-42 / Harvested from The Polish Digital Mathematics Library

Résumé

Some new oscillation criteria are obtained for second order elliptic differential equations with damping $\sum_{i, j = 1}^{n} D_{i} [A_{i j} (x) D_{j} y] + \sum_{i = 1}^{n} b_{i} (x) D_{i} y + q (x) f (y) = 0$ , x ∈ Ω, where Ω is an exterior domain in ℝⁿ. These criteria are different from most known ones in the sense that they are based on the information only on a sequence of subdomains of Ω ⊂ ℝⁿ, rather than on the whole exterior domain Ω. Our results are more natural in view of the Sturm Separation Theorem.

Publié le : 2005-01-01

Zbl 1161.35404

EUDML-ID : urn:eudml:doc:280529

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     title = {Some new oscillation criteria for second order elliptic equations with damping},
     journal = {Annales Polonici Mathematici},
     volume = {85},
     year = {2005},
     pages = {31-42},
     zbl = {1161.35404},
     language = {en},
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Rong-Kun Zhuang; Zheng-an Yao. Some new oscillation criteria for second order elliptic equations with damping. Annales Polonici Mathematici, Tome 85 (2005) pp. 31-42. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap86-1-4/