Existence of solutions to N-dimensional pendulum-like equations
We study the elliptic boundary-value problem Δu + g(x, u) = p(x) in Ω u| ∂Ω = constant, ∫ ∂Ω ∂u/∂ν = 0, where g is T-periodic in u, and Ω ⊂ ℝ n 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...
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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_10726691_v2004_n_p1_Amster |
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todo:paper_10726691_v2004_n_p1_Amster2023-10-03T16:02:46Z Existence of solutions to N-dimensional pendulum-like equations Amster, P. De Nápoli, P.L. Mariani, M.C. Boundary value problems Pendulum-like equations Topological methods We study the elliptic boundary-value problem Δu + g(x, u) = p(x) in Ω u| ∂Ω = constant, ∫ ∂Ω ∂u/∂ν = 0, where g is T-periodic in u, and Ω ⊂ ℝ n 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 I p ⊂ ℝ such that the problem is solvable for p̃(x) = p(x) + c if and only if c ∈ I p. Fil:Amster, P. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:De Nápoli, P.L. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Mariani, M.C. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_10726691_v2004_n_p1_Amster |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
| collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| topic |
Boundary value problems Pendulum-like equations Topological methods |
| spellingShingle |
Boundary value problems Pendulum-like equations Topological methods Amster, P. De Nápoli, P.L. Mariani, M.C. Existence of solutions to N-dimensional pendulum-like equations |
| topic_facet |
Boundary value problems Pendulum-like equations Topological methods |
| description |
We study the elliptic boundary-value problem Δu + g(x, u) = p(x) in Ω u| ∂Ω = constant, ∫ ∂Ω ∂u/∂ν = 0, where g is T-periodic in u, and Ω ⊂ ℝ n 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 I p ⊂ ℝ such that the problem is solvable for p̃(x) = p(x) + c if and only if c ∈ I p. |
| format |
JOUR |
| author |
Amster, P. De Nápoli, P.L. Mariani, M.C. |
| author_facet |
Amster, P. De Nápoli, P.L. Mariani, M.C. |
| author_sort |
Amster, P. |
| title |
Existence of solutions to N-dimensional pendulum-like equations |
| title_short |
Existence of solutions to N-dimensional pendulum-like equations |
| title_full |
Existence of solutions to N-dimensional pendulum-like equations |
| title_fullStr |
Existence of solutions to N-dimensional pendulum-like equations |
| title_full_unstemmed |
Existence of solutions to N-dimensional pendulum-like equations |
| title_sort |
existence of solutions to n-dimensional pendulum-like equations |
| url |
http://hdl.handle.net/20.500.12110/paper_10726691_v2004_n_p1_Amster |
| work_keys_str_mv |
AT amsterp existenceofsolutionstondimensionalpendulumlikeequations AT denapolipl existenceofsolutionstondimensionalpendulumlikeequations AT marianimc existenceofsolutionstondimensionalpendulumlikeequations |
| _version_ |
1782028341384052736 |