Demarque, Reginaldoda Hora Lisboa, Narciso2022-01-262022-01-262018-03-14Demarque, R., & da Hora Lisboa, N. (2018). Radial solutions for inhomogeneous biharmonic elliptic systems. <i>Electronic Journal of Differential Equations, 2018</i>(67), pp. 1-14.1072-6691https://hdl.handle.net/10877/15209In this article we obtain weak radial solutions for the inhomogeneous elliptic system ∆2u + V1(|x|)|u|q-2u = Q(|x|)Fu(u, v) in ℝN, ∆2v + V2(|x|)|v|q-2v = Q(|x|)Fv(u, v) in ℝN, u, v ∈ D2,2 0 (ℝN), N ≥ 5, where ∆2 is the biharmonic operator, Vi, Q ∈ C0 ((0, +∞), [0, +∞)), i = 1, 2, are radially symmetric potentials, 1 < q < N, q ≠ 2, and F is a s-homogeneous function. Our approach relies on an application of the Symmetric Mountain Pass Theorem and a compact embedding result proved in [17].Text14 pages1 file (.pdf)enAttribution 4.0 InternationalBiharmonic operatorElliptic systemsExistence of solutionsRadial solutionsMountain Pass TheoremArticle