Multiplicity of solutions for gradient systems

Multiplicity of solutions for gradient systems

Blog Article

We establish the existence of nontrivial solutions for an elliptic system which is resonant both at the origin and at infinity.The resonance Engraved Whiskey Glass is given by an eigenvalue problem with indefinite weight, and the nonlinear term is permitted to be unbounded.Also, we consider the case where the resonance at infinity and at the origin can occur with different weights.Our Stick Bag main tool is the computation of critical groups.