Multiple solutions for nonlocal system of (p(x),q(x))-Kirchhoff type

In this paper, we study the existence of solutions for a Neumann elliptic system with variable exponents. Under some suitable conditions and by applying an equivalent variational approach to a recent Ricceri’s three critical points theorem, we established the existence of at least three weak solutio...

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Bibliographic Details
Published in:Applied mathematics and computation 2014-09, Vol.242, p.216-226
Main Authors: Massar, M., Talbi, M., Tsouli, N.
Format: Article
Language:English
Subjects:
[formula omitted]-Kirchhoff type system
Multiple solutions
Three critical points theorem
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Summary:In this paper, we study the existence of solutions for a Neumann elliptic system with variable exponents. Under some suitable conditions and by applying an equivalent variational approach to a recent Ricceri’s three critical points theorem, we established the existence of at least three weak solutions.
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2014.05.057