Electronic Journal of Differential Equations,
Vol. 2013 (2013), No. 61, pp. 1-20.

Title: Sign-changing solutions of p-Laplacian equation with a
       sub-linear nonlinearity at infinity
        
Authors: Xian Xu (Jiangsu Normal Univ., Xuzhou, China)
         Bin Xu  (Jiangsu Normal Univ., Xuzhou, China)

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.