Some optimization problems for nonlinear elastic membranes
Loading...
Date
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Abstract
Description
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 $\partial Ω$.
New version with corrections made by the referee
New version with corrections made by the referee