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Oscillation Criteria for PDE with p-Laplacian via the Riccati Technique

✍ Scribed by Robert Mařı́k

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
131 KB
Volume
248
Category
Article
ISSN
0022-247X

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✦ Synopsis

The conditions on the function c x : ‫ޒ‬ ª ‫ޒ‬ are derived, which ensure that the Ž5 5 py 2 . Ž .< < py 2 PDE div ٌu ٌu q c x u u s 0, p ) 1, is oscillatory; i.e., ϱ belongs to Ä the closure of the set of zeros of every solution defined on the domain ⍀ s x g n 5 5 4 ‫ޒ‬ : x ) 1 . The main tool is the Riccati technique combined with suitable a priori bounds.

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