Electron. J. Diff. Equ., Vol. 2016 (2016), No. 188, pp. 1-9.

Infinitely many solutions for Kirchhoff type problems with nonlinear Neumann boundary conditions

Wei-Bing Wang, Wei Tang

Abstract:
In this article, we study a Kirchhoff type problem with nonlinear Neumann boundary conditions on a bounded domain. By using variational methods, we prove the existence of infinitely many solutions.

Submitted December 18, 2015. Published July 13, 2016.
Math Subject Classifications: 35J60, 35J20.
Key Words: Kirchhoff type equation; weak solution; critical point.

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Wei-Bing Wang
Department of Mathematics
Hunan University of Science and Technology
Xiangtan, Hunan 411201, China
email: wwbing2013@126.com
Wei Tang
Department of Mathematics
Hunan University of Science and Technology
Xiangtan, Hunan 411201, China
email: tangwei280584@163.com

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