Arcoya, DavidBoccardo, LucioLeonori, Tommaso2026-01-092026-01-092025-12David Arcoya. Lucio Boccardo. Tommaso Leonori. "Existence of a solution to a nonlinear system of Schrödinger--Poisson type with sublinear eigenfunction term." Differential Integral Equations 38 (11/12) 701 - 714, November/December 2025. https://doi.org/10.57262/die038-1112-7010893‑4983https://doi.org/10.57262/die038-1112-701https://hdl.handle.net/20.500.14468/31341This is an Accepted Manuscript of an article published by Khayyam Publishing, Inc. in "Differential Integral Equations 38 (11/12) 701 - 714, November/December 2025", available at: https://doi.org/10.57262/die038-1112-701Este es el manuscrito aceptado del artículo publicado por Khayyam Publishing, Inc. en "Differential Integral Equations 38 (11/12) 701 - 714, November/December 2025", disponible en línea: https://doi.org/10.57262/die038-1112-701In this paper we prove the existence of a nontrivial solution to a system, whose model is −Δu + rψ ur−1 = up−1 in Ω, −Δψ = ur in Ω, u, ψ > 0 in Ω, u = ψ = 0 on ∂Ω, where Ω is bounded domain in RN, N ≥ 2, with p ∈ (1, 2) and r ≥ 1. Such a solution turns out to be a saddle point of a suitable functional.eninfo:eu-repo/semantics/closedAccess1202.07 Ecuaciones en diferenciasartículoNonlinear elliptic systemvariational methodssaddle point