Yarur, Cecilia S.2019-05-292019-05-291998-01-16Yarur, C. S. (1998). Existence of continuous and singular ground states for semilinear elliptic systems. <i>Electronic Journal of Differential Equations, 1998</i>(01), pp. 1-27.1072-6691https://hdl.handle.net/10877/8211We study existence results of a curve of continuous and singular ground states for the system -Δu = α(|x|) ƒ(v) -Δv = β(|x|) g(u), where x ∈ ℝN \ {0}, the functions ƒ and g are increasing Lipschitz continuous functions in ℝ, and α and β are nonnegative continuous functions in ℝ+. We also study general systems of the form Δu(x) + V(|x|) u + α(|x|)vp = 0 Δv(x) + V(|x|)v + b(|x|) uq = 0.Text27 pages1 file (.pdf)enAttribution 4.0 InternationalSemilinear elliptic systemsGround statesArticleThis work is licensed under a Creative Commons Attribution 4.0 International License.