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

Wenming Zou

doi:10.3934/dcds.1998.4.485

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1998, Volume 4, Issue 3: 485-496. Doi: 10.3934/dcds.1998.4.485

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

Wenming Zou^1,

1.
Institute of Mathematics, Academia Sinica 100080 Beijing

Received: February 28, 1997

Revised: June 30, 1997

Published: June 1998

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Abstract

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.

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Mathematics Subject Classification: Primary: 58F05; Secondary: 58F22.

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