Teramoto, Tomomitsu2021-01-192021-01-192003-09-09Teramoto, T. (2003). On nonnegative entire solutions of second-order semilinear elliptic systems. <i>Electronic Journal of Differential Equations, 2003</i>(94), pp. 1-22.1072-6691https://hdl.handle.net/10877/13121We consider the second-order semilinear elliptic system ∆ui = Pi(x) uαii+1 in ℝN, i = 1, 2, ..., m with nonnegative continuous functions Pi. We establish nonexistence criteria of nonnegative nontrivial entire solutions for this system. We also proved a Liouville type theorem for nonnegative entire solutions.Text22 pages1 file (.pdf)enAttribution 4.0 InternationalElliptic systemsNonnegative entire solutionsArticle