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Sign-changing and multiple solutions of Kirchhoff type problems without the P.S. condition

✍ Scribed by Anmin Mao; Zhitao Zhang

Publisher: Elsevier Science
Year: 2009
Tongue: English
Weight: 629 KB
Volume: 70
Category: Article
ISSN: 0362-546X
DOI: 10.1016/j.na.2008.02.011

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✦ Synopsis

The existence of nontrivial solutions of Kirchhoff type equations is an important nonlocal quasilinear problem; in this paper we use minimax methods and invariant sets of descent flow to prove two interesting existence theorems for the following 4-superlinear Kirchhoff type problems without the P.S. condition, one concerning the existence of a nontrivial solution and the other one concerning the existence of sign-changing solutions and multiple solutions,

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