Sign changing solutions of Kirchhoff type problems via invariant sets of descent flow

We obtain sign changing solutions of a class of nonlocal quasilinear elliptic boundary value problems using variational methods and invariant sets of descent flow.

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Bibliographic Details
Published inJournal of mathematical analysis and applications Vol. 317; no. 2; pp. 456 - 463
Main Authors Zhang, Zhitao, Perera, Kanishka
Format Journal Article
LanguageEnglish
Published San Diego, CA Elsevier Inc 15.05.2006
Elsevier
Subjects
Calculus of variations and optimal control
Exact sciences and technology
Invariant sets of descent flow
Kirchhoff's equation
Mathematical analysis
Mathematics
Nonlocal problems
Sciences and techniques of general use
Variational methods
Invariant sets of descent flow
Variational methods
Kirchhoff's equation
Nonlocal problems
Elliptic equation
Boundary value problem
Mathematical analysis
Nonlocal problem
Invariant set
Descent flow
Partial differential equation
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Summary:We obtain sign changing solutions of a class of nonlocal quasilinear elliptic boundary value problems using variational methods and invariant sets of descent flow.
ISSN:0022-247X
1096-0813
DOI:10.1016/j.jmaa.2005.06.102