Stability results for the N-dimensional Schiffer conjecture via a perturbation method
Given a eigenvalue μ2 0m of -Δ in the unit ball B1, with Neumann boundary conditions, we prove that there exists a class D of C0,1-domains, depending on μ0m, such that if u is a no trivial solution to the following problem Δu + μu = 0 in Ω, u = 0 on ∂Ω, and ∫∂Ω∂nu = 0, with Ω ∈ D, and μ = μ20 m +o(1...
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todo:paper_09442669_v50_n1-2_p305_Canuto2023-10-03T15:49:13Z Stability results for the N-dimensional Schiffer conjecture via a perturbation method Canuto, B. Given a eigenvalue μ2 0m of -Δ in the unit ball B1, with Neumann boundary conditions, we prove that there exists a class D of C0,1-domains, depending on μ0m, such that if u is a no trivial solution to the following problem Δu + μu = 0 in Ω, u = 0 on ∂Ω, and ∫∂Ω∂nu = 0, with Ω ∈ D, and μ = μ20 m +o(1), then μ is a ball. Here μ is a eigenvalue of -Δ in Ω, with Neumann boundary conditions. © 2013 Springer-Verlag Berlin Heidelberg. Fil:Canuto, B. 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_09442669_v50_n1-2_p305_Canuto |
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Universidad de Buenos Aires |
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I-28 |
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R-134 |
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| description |
Given a eigenvalue μ2 0m of -Δ in the unit ball B1, with Neumann boundary conditions, we prove that there exists a class D of C0,1-domains, depending on μ0m, such that if u is a no trivial solution to the following problem Δu + μu = 0 in Ω, u = 0 on ∂Ω, and ∫∂Ω∂nu = 0, with Ω ∈ D, and μ = μ20 m +o(1), then μ is a ball. Here μ is a eigenvalue of -Δ in Ω, with Neumann boundary conditions. © 2013 Springer-Verlag Berlin Heidelberg. |
| format |
JOUR |
| author |
Canuto, B. |
| spellingShingle |
Canuto, B. Stability results for the N-dimensional Schiffer conjecture via a perturbation method |
| author_facet |
Canuto, B. |
| author_sort |
Canuto, B. |
| title |
Stability results for the N-dimensional Schiffer conjecture via a perturbation method |
| title_short |
Stability results for the N-dimensional Schiffer conjecture via a perturbation method |
| title_full |
Stability results for the N-dimensional Schiffer conjecture via a perturbation method |
| title_fullStr |
Stability results for the N-dimensional Schiffer conjecture via a perturbation method |
| title_full_unstemmed |
Stability results for the N-dimensional Schiffer conjecture via a perturbation method |
| title_sort |
stability results for the n-dimensional schiffer conjecture via a perturbation method |
| url |
http://hdl.handle.net/20.500.12110/paper_09442669_v50_n1-2_p305_Canuto |
| work_keys_str_mv |
AT canutob stabilityresultsforthendimensionalschifferconjectureviaaperturbationmethod |
| _version_ |
1807321871065022464 |