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arXiv · 0801.2085

Some optimization problems for nonlinear elastic membranes

L. Del Pezzo·J. Fernandez Bonder
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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 $\J(u)=\int_{\partialΩ} f(x) u \rd \H^{N-1}$ 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 $\partial Ω$.

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L. Del Pezzo, J. Fernandez Bonder. 2008-06-12. Some optimization problems for nonlinear elastic membranes. https://arxiv.org/abs/0801.2085

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