Electron. J. Diff. Equ., Vol. 2014 (2014), No. 112, pp. 1-9.

Pairs of sign-changing solutions for sublinear elliptic equations with Neumann boundary conditions

Chengyue Li, Qi Zhang, Fenfen Chen

Abstract:
We consider the Neumann problem for a sublinear elliptic equation in a convex bounded domain of $\mathbb{R}^{N}$. Using an variant of Clark Theorem, we obtain the existence and multiplicity of its pairs of sign-changing solutions.

Submitted November 5, 2013. Published April 16, 2014.
Math Subject Classifications: 58E05, 34C37, 70H05.
Key Words: Elliptic equation; sublinear potential; Neumann problem; Clark Theorem; critical point.

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Chengyue Li
Department of Mathematics
Minzu University of China
Beijing 100081, China
email: cunlcy@163.com
Qi Zhang
Department of Mathematics
Minzu University of China
Beijing 100081, China
email: 709341427@qq.com
Fenfen Chen
Department of Mathematics
Minzu University of China
Beijing 100081, China
email: chenfenfen359@163.com

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