Multiplicity of solutions for gradient systems using Landesman-Lazer conditions (Q1957563)
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scientific article; zbMATH DE number 5791609
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Multiplicity of solutions for gradient systems using Landesman-Lazer conditions |
scientific article; zbMATH DE number 5791609 |
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Multiplicity of solutions for gradient systems using Landesman-Lazer conditions (English)
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27 September 2010
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Summary: 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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elliptic system
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resonance
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eigenvalue problem with indefinite weights
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