Electron. J. Differential Equations, Vol. 2020 (2020), No. 09, pp. 1-14.

Ground state solutions for quasilinear equations of Kirchhoff type

Junfang Zhao, Xiangqing Liu

Abstract:
This article concerns quasilinear equations of Kirchhoff type. We prove the existence of ground state signed solutions and sign-changing solutions by using the Nehari method.

Submitted February 24, 2019. Published January 15, 2020.
Math Subject Classifications: 35J60, 35J20.
Key Words: Quasilinear equations of Kirchhoff type; ground state solution; sign-changing solutions; Nehari method.
DOI: 10.58997/ejde.2020.09

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Junfang Zhao
School of Science
China University of Geosciences
Beijin 100083, China
email: jfzhao@cugb.edu.cn
  Xiangqing Liu
Department of Mathematics
Yunnan Normal University
Kunming 650500, China
email: lxq8u8@163.com

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