Abstract
In this paper, we study the resonance for some parametric elliptic systems in which the nonlinearities involve convection and convolution of the solution. By applying a topological method based on fixed point theory, we establish the existence of at least one weak solution without using Landesman–Lazer-type conditions. Furthermore, we deal with a gradient-type system at resonance and prove the existence of a solution by using a variational approach.
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