Add to ORKGRegularity 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 convex functions with p-power growth, but are otherwise not subjected to any further structure conditions. For a min-imal configuration (u,E), Hölder continuity of the function u is proved as well as partial regularity of the boundary of the minimal set E. Moreover, full regularity of the boundary of the minimal set is obtained under suitable closeness assumptions on the eigenvalues of the bulk energies
We consider the problem of minimizing $$ \int_{\Omega} [ L(\nabla v(x))+g(x,...
We consider the problem of minimizing the energy $$ E(u):= \int_{\Omega}|\nabla u(x)|^2 \, {\rm d}x ...
Abstract. We study the partial regularity of minimizers for certain singular functionals in the calc...
Regularity results for minimal configurations of variational problems involving both bulk ...
Regularity results for equilibrium configurations of variational problems involving both bulk and ...
Abstract. In this paper, we prove some regularity results for the boundary of an open subset of Rd w...
We first study the minimizers, in the class of convex functions, of an elliptic functional with nonh...
We prove existence and regularity of optimal shapes for the problem min{P(Ω)+G(Ω): Ω⊂D, |Ω|=m}, wh...
We study a class of variational problems involving both bulk and interface energies. The bulk energy...
We consider strictly convex energy densities f:\mathbb{R}^{n}\rightarrow\mathbb{R} under...
This paper is devoted to the relaxation and integral representation in the space of functions of bou...
This paper is devoted to the relaxation and integral representation in the space of functions of bou...
In this article, we study optimization problems ruled by fractional diffusion operators with volume ...
We study a free interface problem of finding the optimal energy configuration for mixtures of two co...
We prove a density lower bound for some functionals involving bulk and interfacial energies. The bul...
We consider the problem of minimizing $$ \int_{\Omega} [ L(\nabla v(x))+g(x,...
We consider the problem of minimizing the energy $$ E(u):= \int_{\Omega}|\nabla u(x)|^2 \, {\rm d}x ...
Abstract. We study the partial regularity of minimizers for certain singular functionals in the calc...
Regularity results for minimal configurations of variational problems involving both bulk ...
Regularity results for equilibrium configurations of variational problems involving both bulk and ...
Abstract. In this paper, we prove some regularity results for the boundary of an open subset of Rd w...
We first study the minimizers, in the class of convex functions, of an elliptic functional with nonh...
We prove existence and regularity of optimal shapes for the problem min{P(Ω)+G(Ω): Ω⊂D, |Ω|=m}, wh...
We study a class of variational problems involving both bulk and interface energies. The bulk energy...
We consider strictly convex energy densities f:\mathbb{R}^{n}\rightarrow\mathbb{R} under...
This paper is devoted to the relaxation and integral representation in the space of functions of bou...
This paper is devoted to the relaxation and integral representation in the space of functions of bou...
In this article, we study optimization problems ruled by fractional diffusion operators with volume ...
We study a free interface problem of finding the optimal energy configuration for mixtures of two co...
We prove a density lower bound for some functionals involving bulk and interfacial energies. The bul...
We consider the problem of minimizing $$ \int_{\Omega} [ L(\nabla v(x))+g(x,...
We consider the problem of minimizing the energy $$ E(u):= \int_{\Omega}|\nabla u(x)|^2 \, {\rm d}x ...
Abstract. We study the partial regularity of minimizers for certain singular functionals in the calc...