Multiplicity of Solutions for Gradient Systems Using Landesman‐Lazer Conditions
Edcarlos D. da Silva · Abstract and Applied Analysis · 2010
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.