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Linking and Multiplicity Results for the p-Laplacian on Unbounded Cylinders

✍ Scribed by Xian-ling Fan; Yuan-zhang Zhao

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 106 KB
Volume: 260
Category: Article
ISSN: 0022-247X
DOI: 10.1006/jmaa.2000.7468

No coin nor oath required. For personal study only.

✦ Synopsis

We consider the p-Laplacian problem

, where p u = div ∇u p-2 ∇u , λ is a constant in a certain range, and a ∈ L N/p ∩ L ∞ is nonnegative a ≡ 0. Using the principle of symmetric criticality, existence and multiplicity are proved under suitable conditions on a and f .

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