Electron. J. Differential Equations, Vol. 2020 (2020), No. 101, pp. 1-21.

Multiple positive solutions to the fractional Kirchhoff problem with critical indefinite nonlinearities

Jie Yang, Haibo Chen, Zhaosheng Feng

Abstract:
This article concerns the existence and multiplicity of positive solutions to the fractional Kirchhoff equation with critical indefinite nonlinearities by applying the Nehari manifold approach and fibering maps.

Submitted June 12, 2020. Published September 28, 2020.
Math Subject Classifications: 35A15, 35B33, 35R11.
Key Words: Fractional Kirchhoff equation; Nehari manifold; fibering maps.
DOI: 10.58997/ejde.2020.101

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Jie Yang
School of Mathematics and Statistics
Central South University
Changsha, Hunan 410083, China
email: dafeyang@163.com
Haibo Chen
School of Mathematics and Statistics
Central South University
Changsha, Hunan 410083, China
email: math_chb@163.com
Zhaosheng Feng
School of Mathematical and Statistical Sciences
University of Texas Rio Grande Valley
Edinburg, TX 78539, USA
email: zhaosheng.feng@utrgv.edu

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