We consider the problem of minimizing the energy $$ E(u):= \int_{\Omega}|\nabla u(x)|^2 \, {\rm d}x + \int_{S_u \cap \Omega}\left (1 + |[u](x)|\right) \, {\rm d}H^{N - 1}(x)$$ among all functions u ∈ SBV²(Ω) for which two level sets $\{u = l_i\}$ have prescribed Lebesgue measure $\alpha_i$. Subject to this volume constraint the existence of minimizers for E(.) is proved and the asymptotic behaviour of the solutions is investigated
We provide a detailed analysis of the minimizers of the functional $u \mapsto \int_{\Bbb R^n} |\nabl...
We study existence, unicity and other geometric properties of the minimizers of the energy functiona...
none2We consider the following classical autonomous variational problem minimize F (v) =\int_a^b f (...
We prove some existence and regularity results for minimizers of a class of integral functionals, de...
AbstractWe prove some existence and regularity results for minimizers of a class of integral functio...
We study the problem of minimizing the Dirichlet integral among all functions u ∈ H 1 (Ω) whose leve...
W (∇u) dx where LN ({u = zi}) = αi, i = 1,..., P, is proved for the case in which zi are extremal p...
International audienceWe study variational problems with volume constraints, i.e., with level sets o...
We consider the problem of minimizing $$ \int_{\Omega} [ L(\nabla v(x))+g(x,...
Regularity results for minimal configurations of variational problems involving both bulk ...
Regularity results for minimal configurations of variational problems involving both bulk and surfac...
In this manuscript we study the following optimization problem with volume constraint: min{ [Formula...
AbstractWe consider the optimization problem of minimizing ∫ΩG(|∇u|)dx in the class of functions W1,...
We consider strictly convex energy densities f:\mathbb{R}^{n}\rightarrow\mathbb{R} under...
Suppose that f:\mathbb{R}^{nN}\rightarrow\mathbb{R} is a strictly convex energy density ...
We provide a detailed analysis of the minimizers of the functional $u \mapsto \int_{\Bbb R^n} |\nabl...
We study existence, unicity and other geometric properties of the minimizers of the energy functiona...
none2We consider the following classical autonomous variational problem minimize F (v) =\int_a^b f (...
We prove some existence and regularity results for minimizers of a class of integral functionals, de...
AbstractWe prove some existence and regularity results for minimizers of a class of integral functio...
We study the problem of minimizing the Dirichlet integral among all functions u ∈ H 1 (Ω) whose leve...
W (∇u) dx where LN ({u = zi}) = αi, i = 1,..., P, is proved for the case in which zi are extremal p...
International audienceWe study variational problems with volume constraints, i.e., with level sets o...
We consider the problem of minimizing $$ \int_{\Omega} [ L(\nabla v(x))+g(x,...
Regularity results for minimal configurations of variational problems involving both bulk ...
Regularity results for minimal configurations of variational problems involving both bulk and surfac...
In this manuscript we study the following optimization problem with volume constraint: min{ [Formula...
AbstractWe consider the optimization problem of minimizing ∫ΩG(|∇u|)dx in the class of functions W1,...
We consider strictly convex energy densities f:\mathbb{R}^{n}\rightarrow\mathbb{R} under...
Suppose that f:\mathbb{R}^{nN}\rightarrow\mathbb{R} is a strictly convex energy density ...
We provide a detailed analysis of the minimizers of the functional $u \mapsto \int_{\Bbb R^n} |\nabl...
We study existence, unicity and other geometric properties of the minimizers of the energy functiona...
none2We consider the following classical autonomous variational problem minimize F (v) =\int_a^b f (...
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