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Multiple Sign-Changing Solutions for Kirchhoff-Type Equations
Joint Authors
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-12-13
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
We study the following Kirchhoff-type equations -a+b∫Ω∇u2dxΔu+Vxu=fx,u, in Ω, u=0, in ∂Ω, where Ω is a bounded smooth domain of RN (N=1,2,3), a>0, b≥0, f∈C(Ω¯×R,R), and V∈C(Ω¯,R).
Under some suitable conditions, we prove that the equation has three solutions of mountain pass type: one positive, one negative, and sign-changing.
Furthermore, if f is odd with respect to its second variable, this problem has infinitely many sign-changing solutions.
American Psychological Association (APA)
Li, Xingping& He, Xiumei. 2015. Multiple Sign-Changing Solutions for Kirchhoff-Type Equations. Discrete Dynamics in Nature and Society،Vol. 2015, no. 2015, pp.1-9.
https://search.emarefa.net/detail/BIM-1060846
Modern Language Association (MLA)
Li, Xingping& He, Xiumei. Multiple Sign-Changing Solutions for Kirchhoff-Type Equations. Discrete Dynamics in Nature and Society No. 2015 (2015), pp.1-9.
https://search.emarefa.net/detail/BIM-1060846
American Medical Association (AMA)
Li, Xingping& He, Xiumei. Multiple Sign-Changing Solutions for Kirchhoff-Type Equations. Discrete Dynamics in Nature and Society. 2015. Vol. 2015, no. 2015, pp.1-9.
https://search.emarefa.net/detail/BIM-1060846
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1060846