Multiplicity of Solutions for Gradient Systems Using Landesman-Lazer Conditions

Edcarlos D. da Silva

Abstract and Applied Analysis, 2010, vol. 2010, 1-22

Abstract:

We establish existence and multiplicity of solutions for an elliptic system which presents resonance at infinity of Landesman-Lazer type. In order to describe the resonance, we use an eigenvalue problem with indefinite weights. In all results, we use Variational Methods, Morse Theory and Critical Groups.

Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:237826

DOI: 10.1155/2010/237826

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