Nontrivial Solutions for Asymmetric Kirchhoff Type Problems
Joint Authors
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-04-16
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
We consider a class of particular Kirchhoff type problems with a right-hand side nonlinearity which exhibits an asymmetric growthat +∞ and −∞ in ℝN(N=2,3).
Namely, it is 4-linear at −∞ and 4-superlinear at +∞.
However, it need not satisfy the Ambrosetti-Rabinowitz condition on the positive semiaxis.
Some existence results for nontrivial solution are established by combining Mountain Pass Theorem and a variant version of Mountain Pass Theorem with Moser-Trudinger inequality.
American Psychological Association (APA)
Pei, Ruichang& Zhang, Jihui. 2014. Nontrivial Solutions for Asymmetric Kirchhoff Type Problems. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-1033566
Modern Language Association (MLA)
Pei, Ruichang& Zhang, Jihui. Nontrivial Solutions for Asymmetric Kirchhoff Type Problems. Abstract and Applied Analysis No. 2014 (2014), pp.1-8.
https://search.emarefa.net/detail/BIM-1033566
American Medical Association (AMA)
Pei, Ruichang& Zhang, Jihui. Nontrivial Solutions for Asymmetric Kirchhoff Type Problems. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-1033566
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1033566