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Multiplicity of Solutions for Gradient Systems Using Landesman-Lazer Conditions

2010; Hindawi Publishing Corporation; Volume: 2010; Issue: 1 Linguagem: Inglês

10.1155/2010/237826

ISSN

1687-0409

Autores

Edcarlos D. da Silva,

Tópico(s)

Differential Equations and Numerical Methods

Resumo

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.

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