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Radial oscillatory solutions of some quasi-linear elliptic equations

✍ Scribed by Zhengce Zhang; Kaitai Li


Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
417 KB
Volume
47
Category
Article
ISSN
0898-1221

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✦ Synopsis


In this paper, we study the radial oscillatory solutions with a prescribed number of zeros by a scaling argument and obtain precise estimates of the gap between the successive zeros, which improves and extends some of the results existing in the literatures [1,21.


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Let be either a ball or an annulus centered about the origin in N and p the usual p-Laplace operator in Ξ² ∈ 0 1 be any two radial weak solutions ofp u i = b u i + f i in . We then show that u 1 ≀ u 2 in implies u 1 < u 2 in and also that appropriate versions of Hopf boundary point principle hold.