Some optimization problems for nonlinear elastic membranes
Leandro Del Pezzo2008, Arxiv preprint arXiv:0801.2085
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Abstract
In this paper we study some optimization problems for nonlinear elastic membranes. More precisely, we consider the problem of optimizing the cost functional J (u) = R ∂Ω f (x)u dH N−1 over some admissible class of loads f where u is the (unique) solution to the problem −∆pu + |u| p−2 u = 0 in Ω with |∇u| p−2 uν = f on ∂Ω.
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