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July  1998, 4(3): 485-496. doi: 10.3934/dcds.1998.4.485

Multiple solutions results for two-point boundary value problem with resonance

Wenming Zou 1,

1. 

Institute of Mathematics, Academia Sinica 100080 Beijing, China

Received  March 1997 Revised  July 1997 Published  April 1998

In this paper we prove the existence of multiple solutions for two-point boundary value problem, which is resonant type both at origin and at infinity, and with higher eigenvalue and unbounded nonlinear terms. Our main ingredients are Morse theory and the computations of critical groups.
Keywords: Morse index, critical groups, resonance, Two-point boundary value problem, Betti number..
Mathematics Subject Classification: Primary: 58F05; Secondary: 58F2.
Citation: Wenming Zou. Multiple solutions results for two-point boundary value problem with resonance. Discrete and Continuous Dynamical Systems, 1998, 4 (3) : 485-496. doi: 10.3934/dcds.1998.4.485
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