Electron. J. Diff. Equ., Vol. 2015 (2015), No. 202, pp. 1-10.

Multiple positive solutions for Kirchhoff problems with sign-changing potential

Gao-Sheng Liu, Chun-Yu Lei, Liu-Tao Guo, Hong Rong

Abstract:
In this article, we study the existence and multiplicity of positive solutions for a class of Kirchhoff type equations with sign-changing potential. Using the Nehari manifold, we obtain two positive solutions.

Submitted June 22, 2015. Published August 4, 2015.
Math Subject Classifications: 35D05, 35J60, 58J32.
Key Words: Kirchhoff type equation; sign-changing potential; Nehari manifold.

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Gao-Sheng Liu
School of Science
Guizhou Minzu University
Guiyang 550025, China
email: 772936104@qq.com
Chun-Yu Lei
School of Science
Guizhou Minzu University
Guiyang 550025, China
email: leichygzu@sina.cn, Phone +86 15985163534
Liu-Tao Guo
School of Science
Guizhou Minzu University
Guiyang 550025, China
email: 350630542@qq.com
Hong Rong
School of Science
Guizhou Minzu University
Guiyang 550025, China
email: 402453552@qq.com

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