We provide explicit examples to show that the relaxation of functionals egin{align*} L^p(Omega;R^m) i umapsto int_Omegaint_Omega W(u(x), u(y)), dx, dy, end{align*} where $OmegasubsetR^n$ is an open and bounded set, $
Relaxation problems for a functional of the type $G(u) = \int_\Omega g(x,\nabla u)dx$ are analyzed,...
Relaxation problems for a functional of the type $G(u) =int_Omega g(x,∇u) dx$ are analyzed, where $...
In this paper we study the relaxation with respect to the $L^1$- norm of integral functionals of the...
We study properties of the functional \begin{eqnarray} \mathscr{F}_{{\rm...
For an integral functional defined on functions (u, v) W 1, 1 × L 1 featuring a prototypical strong ...
Abstract: "A characterization of the surface energy density for the relaxation in BV([omega];R[super...
We consider multiple integrals of the Calculus of Variations of the form $E(u)=int W(x,u(x),Du(x)), ...
We consider a supremal functional of the form $$F(u)= supess_{x in Omega}f(x,Du(x))$$ where $Omegas...
Fixed a bounded open set $\Og$ of $\R^N$, we completely characterize the weak* lower semicontinuit...
We study variational problems involving nonlocal supremal functionals L∞(Ω;Rm)∋u↦esssup(x,y)∈Ω×ΩW(u(...
We give an example of an autonomous functional $F(u) = \int_\Omega f(u,Du) dx$ (where $\Omega$ is op...
AbstractThe relaxation problem for functionals of the form ∝Ωƒ(u, Du) dx with ƒ(s, z) not necessaril...
New L(1)-lower semicontinuity and relaxation results for integral functionals defined in BV(Omega) a...
For integral functionals initially defined for u ∈ W1,1 (Ω;ℝm) by we establish strict continuity and...
Relaxation problems for a functional of the type $G(u) = \int_\Omega g(x,\nabla u)dx$ are analyzed,...
Relaxation problems for a functional of the type $G(u) =int_Omega g(x,∇u) dx$ are analyzed, where $...
In this paper we study the relaxation with respect to the $L^1$- norm of integral functionals of the...
We study properties of the functional \begin{eqnarray} \mathscr{F}_{{\rm...
For an integral functional defined on functions (u, v) W 1, 1 × L 1 featuring a prototypical strong ...
Abstract: "A characterization of the surface energy density for the relaxation in BV([omega];R[super...
We consider multiple integrals of the Calculus of Variations of the form $E(u)=int W(x,u(x),Du(x)), ...
We consider a supremal functional of the form $$F(u)= supess_{x in Omega}f(x,Du(x))$$ where $Omegas...
Fixed a bounded open set $\Og$ of $\R^N$, we completely characterize the weak* lower semicontinuit...
We study variational problems involving nonlocal supremal functionals L∞(Ω;Rm)∋u↦esssup(x,y)∈Ω×ΩW(u(...
We give an example of an autonomous functional $F(u) = \int_\Omega f(u,Du) dx$ (where $\Omega$ is op...
AbstractThe relaxation problem for functionals of the form ∝Ωƒ(u, Du) dx with ƒ(s, z) not necessaril...
New L(1)-lower semicontinuity and relaxation results for integral functionals defined in BV(Omega) a...
For integral functionals initially defined for u ∈ W1,1 (Ω;ℝm) by we establish strict continuity and...
Relaxation problems for a functional of the type $G(u) = \int_\Omega g(x,\nabla u)dx$ are analyzed,...
Relaxation problems for a functional of the type $G(u) =int_Omega g(x,∇u) dx$ are analyzed, where $...
In this paper we study the relaxation with respect to the $L^1$- norm of integral functionals of the...
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