We will study a class of nonlinear elliptic systems involving Steklov-Neumann boundary conditions. We obtain results ensuring the existence of solutions when resonance and nonresonance conditions occur. The results were obtained by using variational arguments.
"A class of nonlinear elliptic systems with Steklov-Neumann nonlinear boundary conditions." Rocky Mountain J. Math. 46 (5) 1519 - 1545, 2016. https://doi.org/10.1216/RMJ-2016-46-5-1519