Existence and Multiplicity of Solutions to a Class of Noncooperative Elliptic Systems With Superlinear Nonlinear Terms

Multiplicity of Solutions for a Class of Noncooperative Elliptic Systems

“…In the previous works, the authors always need to make the assumptions on the nonlinearity at infinity. For example, the sub-quadratic cases were considered in [1], the superquadratic cases were considered in [2] [4] [7] [8] [12] [14] and the asymptotically quadratic cases were considered in [6] [9] [11] [13] [15] [16] [17]. Compared with these results, our nonlinearity F is general at infinity, we do not need to assume the behavior of the nonlinear term F at infinity.…”