14 citations · 28 across the 17 of their papers we have counts for
20 papers
Local Lipschitz continuity for energy integrals under unified general growth of fast and slow type
Michela Eleuteri, Stefania Perrotta, Giulia Treu
We consider a class of anisotropic energy integrals including fast and slow growth under a unified approach, proving that the local minimizers are locally Lipschitz continuous.
On the interplay between -growth and -dependence of the energy integrand: a limit case
M. Eleuteri, P. Marcellini, E. Mascolo +1
We establish the local Lipschitz regularity of the local minimizers of non autonomous integral funtionals of the form \[ \int_ΩF(x, Dz)\,dx, \] where is a bounded open set of $…
Lipschitz regularity for a priori bounded minimizers of integral functionals with nonstandard growth
Michela Eleuteri, Antonia Passarelli di Napoli
We establish the Lipschitz regularity of the a priori bounded local minimizers of integral functionals with non autonomous energy densities satisfying non standard growth condition…
Local Lipschitz continuity for energy integrals with slow growth and lower order terms
Michela Eleuteri, Stefania Perrotta, Giulia Treu
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 p…
Asymptotic analysis of thin structures with point dependent energy growth
Michela Eleuteri, Francesca Prinari, Elvira Zappale
dimensional reduction for hyperelastic thin films modeled through energies with point dependent growth, assuming that the sample is clamped on the lateral boundary, is perf…
Bounded variation spaces with generalized Orlicz growth related to image denoising
Michela Eleuteri, Petteri Harjulehto, Peter Hästö
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…
Lipschitz regularity of minimizers of variational integrals with variable exponents
Michela Eleuteri, Antonia Passarelli di Napoli
In this paper we prove the Lipschitz regularity for local minimizers of convex variational integrals of the form \[ \mathfrak{F}( v, Ω)= \int_Ω \! F(x, Dv(x)) \, dx, \] where, for…
Minimizers of abstract generalized Orlicz--bounded variation energy
Michela Eleuteri, Petteri Harjulehto, Peter Hästö
A way to measure the lower growth rate of is to require to be increasing in . If this condition holds wit…
Local Lipschitz continuity for energy integrals with slow growth
Michela Eleuteri, Paolo Marcellini, Elvira Mascolo +1
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-…
On the validity of variational inequalities for obstacle problems with non-standard growth
Michela Eleuteri, Antonia Passarelli di Napoli
The aim of the paper is to show that the solutions to variational problems with non-standard growth conditions satisfy a corresponding variational inequality without any smallness…
The Fundamental Theorem of Integral Calculus: a Volterra's generalization applied to flat functions
Carlo Benassi, Michela Eleuteri
In a recent paper [5] a smooth function f : [0; 1] --> R with all derivatives vanishing at 0 has been considered and a global condition, showing that f is indeed identically 0, has…
Asymptotic analysis of a family of non-local functionals on sets
Michela Eleuteri, Luca Lussardi, Andrea Torricelli
We study the asymptotic behavior of a family of functionals which penalize a short-range interaction of convolution type between a finite perimeter set and its complement. We first…
-convergence for power-law functionals with variable exponents
Francesca Prinari, Michela Eleuteri
We study the -convergence of the functionals and …
Regularity results for a class of obstacle problems with growth conditions
Michele Caselli, Michela Eleuteri, Antonia Passarelli di Napoli
In this paper we prove the local boundedness as well as the local Lipschitz continuity for solutions to a class of obstacle problems of the type $$\min\left\{\int_Ω{F(x, Dz)}: z\in…
A compactness result for the Sobolev embedding via potential theory
Filippo Camellini, Michela Eleuteri, Sergio Polidoro
In this note we give a proof of the Sobolev and Morrey embedding theorems based on the representation of functions in terms of the fundamental solution of suitable partial differen…
A geometric statement of the Harnack inequality for a degenerate Kolmogorov equation with rough coefficients
Francesca Anceschi, Michela Eleuteri, Sergio Polidoro
We consider weak solutions of degenerate second order partial differential equations of Kolmogorov-Fokker-Planck type with measurable coefficients in divergence form. We give a geo…
Regularity and long-time behavior for a thermodynamically consistent model for complex fluids in two space dimensions
Michela Eleuteri, Stefania Gatti, Giulio Schimperna
We consider a thermodynamically consistent model for the evolution of thermally conducting two-phase incompressible fluids. Complementing previous results, we prove additional regu…
Existence of solutions to a two-dimensional model for nonisothermal two-phase flows of incompressible fluids
Michela Eleuteri, Elisabetta Rocca, Giulio Schimperna
We consider a thermodynamically consistent diffuse interface model describing two-phase flows of incompressible fluids in a non-isothermal setting. This model was recently introduc…
On a non-isothermal diffuse interface model for two-phase flows of incompressible fluids
Michela Eleuteri, Elisabetta Rocca, Giulio Schimperna
We introduce a diffuse interface model describing the evolution of a mixture of two different viscous incompressible fluids of equal density. The main novelty of the present contri…
A new phase field model for material fatigue in oscillating elastoplastic beam
Michela Eleuteri, Jana Kopfova, Pavel Krejci
We pursue the study of fatigue accumulation in an oscillating elastoplastic beam under the additional hypothesis that the material can partially recover by the effect of melting. T…