We announce new structural properties of 1-homogeneous rank-1 convex integrands, and discuss some of their consequences. © 2011 Académie des sciences
summary:Let $f$ be a rotationally invariant (with respect to the proper orthogonal group) function d...
Abstract We introduce a new concept of convexity that depends on a function F : R × R × R × ( 0 , 1 ...
AbstractThe resemblance between the Horn–Thompson theorem and a recent theorem by Dacorogna–Marcelli...
We show that positively $1$--homogeneous rank one convex functions are convex at $0$ and at matrices...
We show that positively $1$--homogeneous rank one convex functions are convex at $0$ and at matrices...
We consider the class of non-negative rank-one convex isotropic integrands on $\mathbb{R}^{n\times n...
We consider the class of non-negative rank-one convex isotropic integrands on Rn×n which are also po...
We stress the relationship between the non-negativeness of polynomials and quasi convexity and rank-...
We show that, in order to decide whether a given probability measure is laminate, it is enough to ve...
We provide an explicit example of a function that is homogeneous of degree one, rank-one convex, but...
The resemblance between the Horn-Thompson theorem and a recent the-orem by Dacorogna-Marcellini-Tant...
This paper is a survey of recent results to abstract convexity of positively homogeneous functions, ...
A linearly convergent iterative algorithm that approximates the rank-1 convex envelope $f^{rc}$ of a...
A linearly convergent iterative algorithm that approximates the rank-1 convex envelope $f^{rc}$ of a...
A linearly convergent iterative algorithm that approximates the rank-1 convex envelope $f^{rc}$ of a...
summary:Let $f$ be a rotationally invariant (with respect to the proper orthogonal group) function d...
Abstract We introduce a new concept of convexity that depends on a function F : R × R × R × ( 0 , 1 ...
AbstractThe resemblance between the Horn–Thompson theorem and a recent theorem by Dacorogna–Marcelli...
We show that positively $1$--homogeneous rank one convex functions are convex at $0$ and at matrices...
We show that positively $1$--homogeneous rank one convex functions are convex at $0$ and at matrices...
We consider the class of non-negative rank-one convex isotropic integrands on $\mathbb{R}^{n\times n...
We consider the class of non-negative rank-one convex isotropic integrands on Rn×n which are also po...
We stress the relationship between the non-negativeness of polynomials and quasi convexity and rank-...
We show that, in order to decide whether a given probability measure is laminate, it is enough to ve...
We provide an explicit example of a function that is homogeneous of degree one, rank-one convex, but...
The resemblance between the Horn-Thompson theorem and a recent the-orem by Dacorogna-Marcellini-Tant...
This paper is a survey of recent results to abstract convexity of positively homogeneous functions, ...
A linearly convergent iterative algorithm that approximates the rank-1 convex envelope $f^{rc}$ of a...
A linearly convergent iterative algorithm that approximates the rank-1 convex envelope $f^{rc}$ of a...
A linearly convergent iterative algorithm that approximates the rank-1 convex envelope $f^{rc}$ of a...
summary:Let $f$ be a rotationally invariant (with respect to the proper orthogonal group) function d...
Abstract We introduce a new concept of convexity that depends on a function F : R × R × R × ( 0 , 1 ...
AbstractThe resemblance between the Horn–Thompson theorem and a recent theorem by Dacorogna–Marcelli...