Electron. J. Diff. Equ., Vol. 2013 (2013), No. 61, pp. 1-20.

Sign-changing solutions of p-Laplacian equation with a sub-linear nonlinearity at infinity

Xian Xu, Bin Xu

Abstract:
In this article we obtain some existence and multiplicity results for sign-changing solutions of a p-Laplacian equation. We use the method of lower and upper solutions and Leray-Schauder degree theory. Moreover, the sign-changing solutions are located by using lower and upper solutions.

Submitted October 24, 2012. Published February 27, 2013.
Math Subject Classifications: 34B15, 34B25.
Key Words: p-Laplacian equation; sign-changing solution; Leray-Schauder degree.

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Xian Xu
Department of Mathematics
Jiangsu Normal University
Xuzhou, Jiangsu, 221116, China
email: xuxian68@163.com
Bin Xu
Department of Mathematics
Jiangsu Normal University
Xuzhou, Jiangsu, 221116, China
email: dream-010@163.com

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