Sign-changing solutions for some nonlinear problems with strong resonance
School of Mathematic Sciences, Qufu Normal University, Qufu Shandong, 273165, P. R. of China
Boundary Value Problems 2011, 2011:18 doi:10.1186/1687-2770-2011-18Published: 30 August 2011
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.