Multiplicity of solutions for gradient systems under strong resonance at the first eigenvalue

2012/06/29 by Edcarlos D. da Silva, da Silva, Edcarlos D.
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Nonlinear Partial Differential Equations #Numerical methods in inverse problems #math.AP

paper · pdf · doi:10.48550/arxiv.1206.7097

arxiv created 2012/06/29 · arxiv updated 2012/07/02

Abstract

In this paper we establish existence and multiplicity of solutions for an elliptic system which has strong resonance at first eigenvalue. To describe the resonance, we use an eigenvalue problem with indefinite weight. In all results we use Variational Methods.

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