Zobrazeno 1 - 10
of 808
pro vyhledávání: '"P, Eleuteri"'
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
Lipschitz regularity for a priori bounded minimizers of integral functionals with nonstandard growth
We establish the Lipschitz regularity of the a priori bounded local minimizers of integral functionals with non autonomous energy densities satisfying non standard growth conditions under a sharp bound on the gap between the growth and the ellipticit
Externí odkaz:
http://arxiv.org/abs/2310.04692
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 consider integral functionals with slow growth and explicit dependence on u of the lagrangian; this includes many relevant examples, as, for instance, in elastoplastic torsion problems or in image restoration problems. Our aim is to prove that the
Externí odkaz:
http://arxiv.org/abs/2309.10727
$3d-2d$ dimensional reduction for hyperelastic thin films modeled through energies with point dependent growth, assuming that the sample is clamped on the lateral boundary, is performed in the framework of $\Gamma$-convergence. Integral representatio
Externí odkaz:
http://arxiv.org/abs/2305.08355
Motivated by the image denoising problem and the undesirable stair-casing effect of the total variation method, we introduce bounded variation spaces with generalized Orlicz growth. Our setup covers earlier variable exponent and double phase models.
Externí odkaz:
http://arxiv.org/abs/2211.15256
In this paper we prove the Lipschitz regularity for local minimizers of convex variational integrals of the form \[ \mathfrak{F}( v, \Omega )= \int_{\Omega} \! F(x, Dv(x)) \, dx, \] where, for ${n > 2}$ and $N\ge 1$, $\Omega$ is a bounded open set in
Externí odkaz:
http://arxiv.org/abs/2206.05512
A way to measure the lower growth rate of $\varphi:\Omega\times [0,\infty) \to [0,\infty)$ is to require $t \mapsto \varphi(x,t)t^{-r}$ to be increasing in $(0,\infty)$. If this condition holds with $r=1$, then \[ \inf_{u\in f+W^{1, \varphi}_0(\Omega
Externí odkaz:
http://arxiv.org/abs/2112.06622
We consider some energy integrals under slow growth and we prove that the local minimizers are locally Lipschitz continuous. Many examples are given, either with subquadratic $p,q-$growth and/or anisotropic growth.
Externí odkaz:
http://arxiv.org/abs/2105.08271
Publikováno v:
Nanomaterials 2020, 10, 2167
Different types of graphene-related materials (GRM) are industrially available and have been exploited for thermal conductivity enhancement in polymers. These include materials with very different features, in terms of thickness, lateral size and com
Externí odkaz:
http://arxiv.org/abs/2101.09063