Figueiredo, Giovany M.2021-07-192021-07-192006-07-12Figueiredo, G. M. (2006). Multiplicity of solutions for a class of elliptic systems in ℝN. <i>Electronic Journal of Differential Equations, 2006</i>(76), pp. 1-12.1072-6691https://hdl.handle.net/10877/13949This article concerns the multiplicity of solutions for the system of equations -Δu + V(∊x)u = α|u|α-2 u|v|β, -Δv + V(∊x)v = β|u|α|v|β-2v in ℝN, where V is a positive potential. We relate the number of solutions with the topology of the set where V attains its minimum. The results are proved by using minimax theorems and Ljusternik-Schnirelmann theory.Text12 pages1 file (.pdf)enAttribution 4.0 InternationalVariational methodsPalais-Smale conditionLjusternik-Schnirelmann theoryArticle