This paper is devoted to prove new relaxation and $\Gamma$-convergence theorems on $\BV(\Om)$ for a class of integral functionals, whose integrands have a product type structure, but they do not satisfy any assumptions of coerciveness or continuity with respect to the spatial variable
AbstractThe relaxation problem for functionals of the form ∝Ωƒ(u, Du) dx with ƒ(s, z) not necessaril...
Following the global method for relaxation we prove an integral representation result for a large cl...
In this paper we study the relaxation with respect to the $L^1$- norm of integral functionals of the...
We prove a relaxation theorem in BV for a non coercive functional with linear growth. No continuity ...
We prove a relaxation theorem in BV for a non coercive functional with linear growth. No continuity ...
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...
A relaxation result for autonomous integral functionals with discontinuous non-coercive integran
We study the stability of a sequence of integral functionals on divergence-free matrix valued fields...
We obtain an integral representation for the relaxation, in the space of functions of bounded deform...
We prove that the Gamma-limit in L^1_μ of a sequence of supremal functionals of the form F_k(u) = μ-...
We study properties of the functional \begin{eqnarray} \mathscr{F}_{{\rm...
AbstractWe present a new approach to the variational relaxation of functionals F:D(RN;Rm)→[0,∞[ of t...
We study the integral representation properties of limits of sequences of integral functionals unde...
We consider integral functionals $F_epsilon^{(j)}$, doubly indexed by $epsilon$ > 0 and $j in mathbb...
AbstractThe relaxation problem for functionals of the form ∝Ωƒ(u, Du) dx with ƒ(s, z) not necessaril...
Following the global method for relaxation we prove an integral representation result for a large cl...
In this paper we study the relaxation with respect to the $L^1$- norm of integral functionals of the...
We prove a relaxation theorem in BV for a non coercive functional with linear growth. No continuity ...
We prove a relaxation theorem in BV for a non coercive functional with linear growth. No continuity ...
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...
A relaxation result for autonomous integral functionals with discontinuous non-coercive integran
We study the stability of a sequence of integral functionals on divergence-free matrix valued fields...
We obtain an integral representation for the relaxation, in the space of functions of bounded deform...
We prove that the Gamma-limit in L^1_μ of a sequence of supremal functionals of the form F_k(u) = μ-...
We study properties of the functional \begin{eqnarray} \mathscr{F}_{{\rm...
AbstractWe present a new approach to the variational relaxation of functionals F:D(RN;Rm)→[0,∞[ of t...
We study the integral representation properties of limits of sequences of integral functionals unde...
We consider integral functionals $F_epsilon^{(j)}$, doubly indexed by $epsilon$ > 0 and $j in mathbb...
AbstractThe relaxation problem for functionals of the form ∝Ωƒ(u, Du) dx with ƒ(s, z) not necessaril...
Following the global method for relaxation we prove an integral representation result for a large cl...
In this paper we study the relaxation with respect to the $L^1$- norm of integral functionals of the...