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pro vyhledávání: '"Buttazzo, G."'
We consider shape optimization problems involving functionals depending on perimeter, torsional rigidity and Lebesgue measure. The scaling free cost functionals are of the form $P(\Omega)T^q(\Omega)|\Omega|^{-2q-1/2}$ and the class of admissible doma
Externí odkaz:
http://arxiv.org/abs/2101.02886
We consider shape functionals of the form $F_q(\Omega)=P(\Omega)T^q(\Omega)$ on the class of open sets of prescribed Lebesgue measure. Here $q>0$ is fixed, $P(\Omega)$ denotes the perimeter of $\Omega$ and $T(\Omega)$ is the torsional rigidity of $\O
Externí odkaz:
http://arxiv.org/abs/2007.02549
Publikováno v:
Journal of Convex Analysis 24 (3) (2017)
An asymptotic analysis is performed for thin anisotropic elastic plate clamped along its lateral side and also supported at a small area $\theta_{h}$ of one base with diameter of the same order as the plate thickness $h\ll1.$ A three-dimensional boun
Externí odkaz:
http://arxiv.org/abs/1601.04912
Publikováno v:
Journal of Convex Analysis 23 (1) (2016), 347-386
A thin anisotropic elastic plate clamped along its lateral side and also supported at a small area $\theta_{h}$ of one base is considered; the diameter of $\theta_{h}$ is of the same order as the plate relative thickness $h\ll1$. In addition to the s
Externí odkaz:
http://arxiv.org/abs/1507.03903
Autor:
Bucur, D., Buttazzo, G.
For every positive regular Borel measure, possibly infinite valued, vanishing on all sets of $p$-capacity zero, we characterize the compactness of the embedding $W^{1,p}({\bf R}^N)\cap L^p ({\bf R}^N,\mu)\hr L^q({\bf R}^N)$ in terms of the qualitativ
Externí odkaz:
http://arxiv.org/abs/0912.0357
Autor:
Buttazzo, G., Kawohl, B.
We consider overdetermined boundary value problems for the $\infty$-Laplacian in a domain $\Omega$ of $\R^n$ and discuss what kind of implications on the geometry of $\Omega$ the existence of a solution may have. The classical $\infty$-Laplacian, the
Externí odkaz:
http://arxiv.org/abs/0911.2576
Publikováno v:
ESAIM Control Optim. Calc. Var. 15 (2009), no. 3, 509-524
Given the probability measure $\nu$ over the given region $\Omega\subset \R^n$, we consider the optimal location of a set $\Sigma$ composed by $n$ points $\Om$ in order to minimize the average distance $\Sigma\mapsto \int_\Om \dist(x,\Sigma) d\nu$ (t
Externí odkaz:
http://arxiv.org/abs/math/0612718
We consider the problem of placing n small balls of given radius in a certain domain subject to a force f in order to minimize the compliance of the configuration. Then we let n tend to infinity and look at the asymptotics of the minimization problem
Externí odkaz:
http://arxiv.org/abs/math/0503426