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Existence of solutions for Schrödinger-Poisson system with asymptotically periodic terms
2018
Journal of Nonlinear Science and its Applications
In this paper, we consider the following nonlinear Schrödinger-Poisson system where V, K ∈ L ∞ (R 3 ) and f : R 3 × R → R is continuous. We prove that the problem has a nontrivial solution under asymptotically periodic case of V, K, and f at infinity. Moreover, the nonlinear term f does not satisfy any monotone condition.
doi:10.22436/jnsa.011.05.01
fatcat:rngfzqrkejc65odew55fci5p34