An O(n) invariant nonnegative rank 1 convex function of linear growth is given that is not polyconvex. This answers a recent question [8, p. 182] and [5]. The polyconvex hull of the function is calculated explicitly if n = 2:
International audienceA quasiconvex function f being given, does there exist an increasing and conti...
Many problems in continuum mechanics, especially in the theory of elastic materials, lead to nonline...
We prove that the quasiconvex envelope of a differentiable function which satisfies natural growth c...
An O(n) invariant nonnegative rank 1 convex function of linear growth is given that is not polyconve...
International audienceCombining the definitions set forth by J. Ball in 1977 and by J. Ball, J.C. Cu...
International audienceWe propose in this paper a definition of a “polyconvex function on a surface”,...
summary:Let $f$ be a function defined on the set ${\mathbf M}^{2\times 2}$ of all $2$ by $2$ matrice...
We give an example of a smooth function f : ℝ2×2 → ℝ, which is not polyconvex and which has the prop...
Symmetric quasiconvexity plays a key role for energy minimization in geometrically linear elasticity...
Symmetric quasiconvexity plays a key role for energy minimization in geometrically linear elasticity...
We stress the relationship between the non-negativeness of polynomials and quasi convexity and rank-...
Symmetric quasiconvexity plays a key role for energy minimization in geometrically linear elasticity...
Symmetric quasiconvexity plays a key role for energy minimization in geometrically linear elasticity...
All the existing books in Infinite Dimensional Complex Analysis focus on the problems of locally con...
International audienceA quasiconvex function f being given, does there exist an increasing and conti...
International audienceA quasiconvex function f being given, does there exist an increasing and conti...
Many problems in continuum mechanics, especially in the theory of elastic materials, lead to nonline...
We prove that the quasiconvex envelope of a differentiable function which satisfies natural growth c...
An O(n) invariant nonnegative rank 1 convex function of linear growth is given that is not polyconve...
International audienceCombining the definitions set forth by J. Ball in 1977 and by J. Ball, J.C. Cu...
International audienceWe propose in this paper a definition of a “polyconvex function on a surface”,...
summary:Let $f$ be a function defined on the set ${\mathbf M}^{2\times 2}$ of all $2$ by $2$ matrice...
We give an example of a smooth function f : ℝ2×2 → ℝ, which is not polyconvex and which has the prop...
Symmetric quasiconvexity plays a key role for energy minimization in geometrically linear elasticity...
Symmetric quasiconvexity plays a key role for energy minimization in geometrically linear elasticity...
We stress the relationship between the non-negativeness of polynomials and quasi convexity and rank-...
Symmetric quasiconvexity plays a key role for energy minimization in geometrically linear elasticity...
Symmetric quasiconvexity plays a key role for energy minimization in geometrically linear elasticity...
All the existing books in Infinite Dimensional Complex Analysis focus on the problems of locally con...
International audienceA quasiconvex function f being given, does there exist an increasing and conti...
International audienceA quasiconvex function f being given, does there exist an increasing and conti...
Many problems in continuum mechanics, especially in the theory of elastic materials, lead to nonline...
We prove that the quasiconvex envelope of a differentiable function which satisfies natural growth c...
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