On a Neumann Problem at Resonance for Nonuniformly Semilinear Elliptic Systems in an Unbounded Domain With Nonlinear Boundary Condition

Abstract

Abstract. We consider a nonuniformly nonlinear elliptic systems with resonance part and nonlinear Neumann boundary condition on an unbounded domain. Our arguments are based on the minimum principle and rely on a generalization of the Landesman-Lazer type condition.