[PDF][PDF] A remark on a free interface problem with volume constraint

L Esposito, N Fusco - J. Convex Anal, 2011 - heldermann-verlag.de
We study the optimal design problem of finding the minimal energy configuration for a
mixture of two conducting materials with a perimeter penalization of the unknown domain …

Regularity results for a free interface problem with Hölder coefficients

L Esposito, L Lamberti - Calculus of Variations and Partial Differential …, 2023 - Springer
We study a class of variational problems involving both bulk and interface energies. The
bulk energy is of Dirichlet type albeit of very general form allowing the dependence from the …

Epsilon-regularity for almost-minimizers of anisotropic free interface problem with Hölder dependence on the position

L Esposito, L Lamberti, G Pisante - Interfaces and Free Boundaries, 2024 - ems.press
We establish an"-regularity result for almost-minimizers of a class of variational problems
involving both bulk and interface energies. The bulk energy is of Dirichlet type. The surface …

Threshold-based quasi-static brittle damage evolution

A Garroni, CJ Larsen - Archive for rational mechanics and analysis, 2009 - Springer
We introduce models for static and quasi-static damage in elastic materials, based on a
strain threshold, and then investigate the relationship between these threshold models and …

On the regularity of critical and minimal sets of a free interface problem

N Fusco, V Julin - Interfaces and Free Boundaries, 2015 - ems.press
We study a free interface problem of finding the optimal energy configuration for mixtures of
two conducting materials with an additional perimeter penalization of the interface. We …

Regularity results for an optimal design problem with lower order terms

L Esposito, L Lamberti - Advances in Calculus of Variations, 2023 - degruyter.com
We study the regularity of the interface for optimal energy configurations of functionals
involving bulk energies with an additional perimeter penalization of the interface. Here we …

A regularity result for minimal configurations of a free interface problem

L Lamberti - Bollettino dell'Unione Matematica Italiana, 2021 - Springer
We prove a regularity result for minimal configurations of variational problems involving both
bulk and surface energies in some bounded open region\varOmega ⊆ R^ n Ω⊆ R n. We …

Regularity results for an optimal design problem with quasiconvex bulk energies

M Carozza, I Fonseca, A Passarelli di Napoli - Calculus of Variations and …, 2018 - Springer
Regularity results for equilibrium configurations of variational problems involving both bulk
and surface energies are established. The bulk energy densities are uniformly strictly …

Regularity results for an optimal design problem with a volume constraint

M Carozza, I Fonseca, AP Di Napoli - ESAIM: Control, Optimisation …, 2014 - cambridge.org
Regularity results for minimal configurations of variational problems involving both bulk and
surface energies and subject to a volume constraint are established. The bulk energies are …

Locally optimal configurations for the two-phase torsion problem in the ball

L Cavallina - Nonlinear Analysis, 2017 - Elsevier
We consider the unit ball Ω⊂ RN (N≥ 2) filled with two materials with different
conductivities. We perform shape derivatives up to the second order to find out precise …