✦ LIBER ✦

Non-degeneracy and uniqueness of periodic solutions for some superlinear beam equations

✍ Scribed by Wei Li; Meirong Zhang

Publisher: Elsevier Science
Year: 2009
Tongue: English
Weight: 453 KB
Volume: 22
Category: Article
ISSN: 0893-9659
DOI: 10.1016/j.aml.2008.03.027

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✦ Synopsis

In this work we will use some Sobolev constants to explicitly characterize a class of potentials q(t) ∈ L p (R/T Z) for which the periodic linear beam equation u (4) = q(t)u is non-degenerate. As an application, we will obtain the uniqueness of periodic solutions of a certain class of superlinear beam equations.

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