Abstract:We study a nonlinear elliptic system with resonance part and nonlinear boundary conditions on an unbounded domain. Our approach is variational and is based on the well known Landesman-Laser type conditions.
Keywords: quasilinear problem, $p$-Laplacian system, Landesman-Laser condition, resonance
AMS Subject Classification: 35D05, 35J45, 35J50