Zobrazeno 1 - 10
of 200
pro vyhledávání: '"ZAPPALE, ELVIRA"'
Autor:
Barroso, Ana Cristina, Zappale, Elvira
A measure representation result for a functional modelling optimal design problems for plastic deformations, under linear growth conditions, is obtained. Departing from an energy with a bulk term depending on the second gradient, as well as a perimet
Externí odkaz:
http://arxiv.org/abs/2412.16027
The aim of this paper is to deal with the asymptotics of generalized Orlicz norms when the lower growth rate tends to infinity. $\Gamma$-convergence results and related representation theorems in terms of $L^\infty$ functionals are proven for sequenc
Externí odkaz:
http://arxiv.org/abs/2406.16509
(Two-scale) gradient Young measures in Orlicz-Sobolev setting are introduced and characterized providing also an integral representation formula for non convex energies arising in homogenization problems with nonstandard growth.
Externí odkaz:
http://arxiv.org/abs/2407.03359
The periodic unfolding method is extended to the Orlicz setting and used to prove a homogenization result for non-convex integral energies defined on vector-valued configurations in the Orlicz-Sobolev setting.
Externí odkaz:
http://arxiv.org/abs/2406.16226
We consider a thin multi-domain of $\mathbb R^N$, with $N\geq 2$, consisting of a vertical rod upon a horizontal disk. In this thin multi-domain, we introduce a bulk energy density of the kind $W(D^2U)$, where $W$ is a continuous function with linear
Externí odkaz:
http://arxiv.org/abs/2402.16633
Measure structured deformations are introduced to present a unified theory of deformations of continua. The energy associated with a measure structured deformation is defined via relaxation departing either from energies associated with classical def
Externí odkaz:
http://arxiv.org/abs/2402.14790
We propose a homogenized supremal functional rigorously derived via $L^p$-approximation by functionals of the type $\underset{x\in\Omega}{\mbox{ess-sup}}\hspace{0.03cm} f\left(\frac{x}{\varepsilon}, Du\right)$, when $\Omega$ is a bounded open set of
Externí odkaz:
http://arxiv.org/abs/2310.01175
We address a deep study of the convexity notions that arise in the study of weak* lower semicontinuity of supremal functionals as well as those raised by the power-law approximation of such functionals. Our quest is motivated by the knowledge we have
Externí odkaz:
http://arxiv.org/abs/2309.10190
We prove an integral representation result for a class of variational functionals appearing in the framework of hierarchical systems of structured deformations via a global method for relaxation. Some applications to specific relaxation problems are
Externí odkaz:
http://arxiv.org/abs/2309.09307
Autor:
Torricelli, Andrea, Zappale, Elvira
We provide necessary and sufficient conditions on the density $W:\mathbb R^d\times\mathbb R ^d\to\mathbb R$ in order to ensure the sequential weak* lower semicontinuity of the functional $J: W^{1,\infty}(I;\mathbb R^d)\to \mathbb R$, defined as \begi
Externí odkaz:
http://arxiv.org/abs/2307.13597