Electronic Journal of Differential Equations,
Vol. 2012 (2012), No. 17, pp. 1-8.

Title: Sing-changing solutions for nonlinear problems with
       strong resonance

Author: Aixia Qian (Qufu Normal Univ., Shandong, China)

Abstract:
 Using critical point theory and index theory, we prove
 the existence and multiplicity of sign-changing solutions for
 some elliptic problems with strong resonance at infinity, under
 weaker conditions than in the references.

Submitted June 14, 2011. Published January 26, 2012.
Math Subject Classifications: 35J65, 58E05.
Key Words: Critical point theory; strong resonance; index theory; 
           Cerami condition.