Amster, PabloDe Napoli, Pablo L.Mariani, Maria Cristina2021-05-142021-05-142004-10-20Amster, P., De Nápoli, P. L., & Mariani, M. C. (2004). Existence of solutions to n-dimensional pendulum-like equations. <i>Electronic Journal of Differential Equations, 2004</i>(125), pp. 1-8.1072-6691https://hdl.handle.net/10877/13546We study the elliptic boundary-value problem ∆u + g(x, u) = p(x) in Ω u|∂Ω = constant, ∫∂Ω ∂u/∂v = 0, where g is T-periodic in u, and Ω ⊂ ℝn is a bounded domain. We prove the existence of a solution under a condition on the average of the forcing term p. Also, we prove the existence of a compact interval Ip ⊂ ℝ such that the problem is solvable for p̃(x) = p(x) + c if and only if c ∈ Ip.Text8 pages1 file (.pdf)enAttribution 4.0 InternationalPendulum-like equationsBoundary value problemsTopological methodsArticle