Tyagi, JagmohanJagmohanTyagi2025-08-302025-08-302011-12-132-s2.0-83055168454https://d8.irins.org/handle/IITG2025/21059By the method of monotone iteration and Schauder fixed point theorem, we prove the existence of non-negative solutions to the system = for λ sufficiently small, where is a bounded domain in R^N with smooth boundary ∂Ω and λ is a positive parameter. In this work, we allow the sign changing nature of a and b with a(x)b(x) ≤ 0, ∀x Ie{cyrillic, ukrainian} Ω. © 2011 Texas State University - San Marcos.falseElliptic system | Existence | Non-negative solutionArticle107266911-920113arJournal