AbstractWe consider the optimization problem of minimizing ∫ΩG(|∇u|)dx in the class of functions W1,G(Ω), with a constraint on the volume of {u>0}. The conditions on the function G allow for a different behavior at 0 and at ∞. We consider a penalization problem, and we prove that for small values of the penalization parameter, the constrained volume is attained. In this way we prove that every solution u is locally Lipschitz continuous and that the free boundary, ∂{u>0}∩Ω is smooth
We study the problem of minimizing the Dirichlet integral among all functions u ∈ H 1 (Ω) whose leve...
In mathematical modelling, the data and solutions are represented as measurable functions and their ...
International audienceWe consider the problem of minimizing the Lagrangian [F (∇u)+f u] among functi...
G(|∇u|) dx in the class of functions W 1,G(Ω), with a constraint on the volume of {u> 0}. The con...
AbstractWe consider the optimization problem of minimizing ∫ΩG(|∇u|)dx in the class of functions W1,...
AbstractWe consider the optimization problem of minimizing ∫Ω|∇u|pdx with a constraint on the volume...
|∇u|p dx with a constrain on the volume of {u> 0}. We consider a penalization problem, and we pro...
In this manuscript we study the following optimization problem with volume constraint: min{ [Formula...
In this article, we study optimization problems ruled by fractional diffusion operators with volume ...
We consider an optimization problem with volume constraint for an energy functional associated to an...
In this article under the assumption of "small" density for the negativity set, we prove local Lipsc...
We consider the problem of minimizing the energy $$ E(u):= \int_{\Omega}|\nabla u(x)|^2 \, {\rm d}x ...
This paper studies a scalar minimization problem with an integral functional of the gradient under a...
This is an essentially self-contained book on the theory of convex functions and convex optimization...
Let Omega be an open bounded subset of Rn and f a continuous function on Omega satisfying f(x) > 0 f...
We study the problem of minimizing the Dirichlet integral among all functions u ∈ H 1 (Ω) whose leve...
In mathematical modelling, the data and solutions are represented as measurable functions and their ...
International audienceWe consider the problem of minimizing the Lagrangian [F (∇u)+f u] among functi...
G(|∇u|) dx in the class of functions W 1,G(Ω), with a constraint on the volume of {u> 0}. The con...
AbstractWe consider the optimization problem of minimizing ∫ΩG(|∇u|)dx in the class of functions W1,...
AbstractWe consider the optimization problem of minimizing ∫Ω|∇u|pdx with a constraint on the volume...
|∇u|p dx with a constrain on the volume of {u> 0}. We consider a penalization problem, and we pro...
In this manuscript we study the following optimization problem with volume constraint: min{ [Formula...
In this article, we study optimization problems ruled by fractional diffusion operators with volume ...
We consider an optimization problem with volume constraint for an energy functional associated to an...
In this article under the assumption of "small" density for the negativity set, we prove local Lipsc...
We consider the problem of minimizing the energy $$ E(u):= \int_{\Omega}|\nabla u(x)|^2 \, {\rm d}x ...
This paper studies a scalar minimization problem with an integral functional of the gradient under a...
This is an essentially self-contained book on the theory of convex functions and convex optimization...
Let Omega be an open bounded subset of Rn and f a continuous function on Omega satisfying f(x) > 0 f...
We study the problem of minimizing the Dirichlet integral among all functions u ∈ H 1 (Ω) whose leve...
In mathematical modelling, the data and solutions are represented as measurable functions and their ...
International audienceWe consider the problem of minimizing the Lagrangian [F (∇u)+f u] among functi...
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