Open Access Research

Sign-changing solutions for some nonlinear problems with strong resonance

Aixia Qian

Author Affiliations

School of Mathematic Sciences, Qufu Normal University, Qufu Shandong, 273165, P. R. of China

Boundary Value Problems 2011, 2011:18 doi:10.1186/1687-2770-2011-18

Published: 30 August 2011

Abstract

By means of critical point and index theories, we obtain the existence and multiplicity of sign-changing solutions for some elliptic problems with strong resonance at infinity, under weaker conditions.

2000 Mathematics Subject Classification: 35J65; 58E05.

Keywords:
critical point theory; strong resonance; index theory; Cerami condition