Some optimization problems for p-Laplacian type equations
In this paper we study some optimization problems for nonlinear elastic membranes. More precisely, we consider the problem of optimizing the cost functional ℑ(u) = ∫∂ω f(x)u dℋ N-1 over some admissible class of loads f where u is the (unique) solution to the problem -Δ p u+|u| p-2 u=0 in Ω with |∇u|...
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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_00954616_v59_n3_p365_DelPezzo |
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todo:paper_00954616_v59_n3_p365_DelPezzo2023-10-03T14:56:39Z Some optimization problems for p-Laplacian type equations Del Pezzo, L.M. Fernández Bonder, J. Load optimization P-Laplace equation Shape derivative Cost functional Load optimization Nonlinear elastic membranes Optimization problems P-Laplace equation P-laplacian Shape derivative Electric load management Integrodifferential equations Laplace transforms Nonlinear equations Optimization Laplace equation In this paper we study some optimization problems for nonlinear elastic membranes. More precisely, we consider the problem of optimizing the cost functional ℑ(u) = ∫∂ω f(x)u dℋ N-1 over some admissible class of loads f where u is the (unique) solution to the problem -Δ p u+|u| p-2 u=0 in Ω with |∇u| p-2 u ν =f on ∂Ω. © 2008 Springer Science+Business Media, LLC. Fil:Del Pezzo, L.M. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Fernández Bonder, J. 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_00954616_v59_n3_p365_DelPezzo |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
| collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| topic |
Load optimization P-Laplace equation Shape derivative Cost functional Load optimization Nonlinear elastic membranes Optimization problems P-Laplace equation P-laplacian Shape derivative Electric load management Integrodifferential equations Laplace transforms Nonlinear equations Optimization Laplace equation |
| spellingShingle |
Load optimization P-Laplace equation Shape derivative Cost functional Load optimization Nonlinear elastic membranes Optimization problems P-Laplace equation P-laplacian Shape derivative Electric load management Integrodifferential equations Laplace transforms Nonlinear equations Optimization Laplace equation Del Pezzo, L.M. Fernández Bonder, J. Some optimization problems for p-Laplacian type equations |
| topic_facet |
Load optimization P-Laplace equation Shape derivative Cost functional Load optimization Nonlinear elastic membranes Optimization problems P-Laplace equation P-laplacian Shape derivative Electric load management Integrodifferential equations Laplace transforms Nonlinear equations Optimization Laplace equation |
| description |
In this paper we study some optimization problems for nonlinear elastic membranes. More precisely, we consider the problem of optimizing the cost functional ℑ(u) = ∫∂ω f(x)u dℋ N-1 over some admissible class of loads f where u is the (unique) solution to the problem -Δ p u+|u| p-2 u=0 in Ω with |∇u| p-2 u ν =f on ∂Ω. © 2008 Springer Science+Business Media, LLC. |
| format |
JOUR |
| author |
Del Pezzo, L.M. Fernández Bonder, J. |
| author_facet |
Del Pezzo, L.M. Fernández Bonder, J. |
| author_sort |
Del Pezzo, L.M. |
| title |
Some optimization problems for p-Laplacian type equations |
| title_short |
Some optimization problems for p-Laplacian type equations |
| title_full |
Some optimization problems for p-Laplacian type equations |
| title_fullStr |
Some optimization problems for p-Laplacian type equations |
| title_full_unstemmed |
Some optimization problems for p-Laplacian type equations |
| title_sort |
some optimization problems for p-laplacian type equations |
| url |
http://hdl.handle.net/20.500.12110/paper_00954616_v59_n3_p365_DelPezzo |
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AT delpezzolm someoptimizationproblemsforplaplaciantypeequations AT fernandezbonderj someoptimizationproblemsforplaplaciantypeequations |
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1782027523812491264 |