[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 …
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 …
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
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 …
involving both bulk and interface energies. The bulk energy is of Dirichlet type. The surface …
Threshold-based quasi-static brittle damage evolution
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 …
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 …
two conducting materials with an additional perimeter penalization of the interface. We …
Regularity results for an optimal design problem with lower order terms
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 …
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 …
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
Regularity results for equilibrium configurations of variational problems involving both bulk
and surface energies are established. The bulk energy densities are uniformly strictly …
and surface energies are established. The bulk energy densities are uniformly strictly …
Regularity results for an optimal design problem with a volume constraint
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 …
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 …
conductivities. We perform shape derivatives up to the second order to find out precise …