Some optimization problems for nonlinear elastic membranes

dc.creatorDel Pezzo, L.
dc.creatorBonder, J. Fernandez
dc.date2008-01-14
dc.date2008-06-12
dc.date.accessioned2026-07-07T09:43:52Z
dc.date.available2026-07-07T09:43:52Z
dc.descriptionIn this paper we study some optimization problems for nonlinear elastic membranes. More precisely, we consider the problem of optimizing the cost functional $\J(u)=\int_{\partialΩ} f(x) u \rd \H^{N-1}$ 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 $|\nabla u|^{p-2}u_ν= f$ on $\partial Ω$.
dc.descriptionNew version with corrections made by the referee
dc.identifierhttps://arxiv.org/abs/0801.2085
dc.identifierhttp://arxiv.org/abs/0801.2085
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/162673
dc.subjectAnalysis of PDEs
dc.titleSome optimization problems for nonlinear elastic membranes
dc.typetext

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