Existence result for a system of two semilinear coupled Poisson equations with asymptotically linear nonlinearities
Abstract
We establish the existence of at least one solution to a system of two semilinear coupled Poisson equations with asymptotically linear nonlinearities, without imposing the Ambrosetti-Rabinowitz condition or any of its refinements. The proof relies on a generalized saddle point theorem due to Colin and the author CS.
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