El-Zahrani, Eada A.Serag, Hassan M.2021-07-162021-07-162006-07-06El-Zahrani, E. A., & Serag, H. M. (2006). Existence of weak solutions for nonlinear elliptic systems on ℝN. <i>Electronic Journal of Differential Equations, 2006</i>(69), pp. 1-10.1072-6691https://hdl.handle.net/10877/13942In this paper, we consider the nonlinear elliptic system -Δpu = α(x)|u|p-2 u - b(x)|u|α|v|βv + ƒ, -Δqv = -c(x)|u|α|v|βu + d(x)|v|q-2 v + g, lim|x|→∞ u = lim|x|→∞ v = 0 u, v > 0 on a bounded and unbounded domains of ℝN, where Δp denotes the p-Laplacian. The existence of weak solutions for these systems is proved using the theory of monotone operators.Text10 pages1 file (.pdf)enAttribution 4.0 InternationalWeak solutionsNonlinear elliptic systemsp-LaplacianMonotone operatorsArticle