Abstract

AbstractWe are concerned with Dirichlet systems involving the relativistic discrete operator Here, for , we denote by the forward difference operator. Besides a “universal” existence result for a system with a general nonlinearity, we obtain multiplicity of solutions for systems with parameterized nonlinearities. Our approaches mainly rely on Brouwer degree arguments and critical point theory for convex, lower semicontinuous perturbations of ‐functionals.

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