On the non-locality of quasiconvexity
- Kristensen, J
DOIAbstract
It is shown that in the class of smooth real-valued functions on n × m matrices (n ≥ 3, m ≥ 2) there can be no “local condition” which is equivalent to quasiconvexity
It is shown that in the class of smooth real-valued functions on n × m matrices (n ≥ 3, m ≥ 2) there can be no “local condition” which is equivalent to quasiconvexity
Motivated by applications in materials science, a set of quasiconvexity at the boundary conditions i...
Motivated by applications in materials science, a set of quasiconvexity at the boundary conditions i...
AbstractWe prove that a quasiconvex function W:Mn×n→[0,∞] which is finite on the set Σ={F:detF=1} is...
It is shown that in the class of smooth real-valued functions on n × m matrices (n ≥ 3, m ≥ 2) there...
We give an example of a smooth function f : ℝ2×2 → ℝ, which is not polyconvex and which has the prop...
Let W be a function from the real m×n-matrices to the real numbers. If W is quasiconvex in the sense...
In this paper it is shown that higher-order quasiconvex functions suitable in the variational treatm...
In this paper it is shown that higher-order quasiconvex functions suitable in the variational treatm...
In this paper it is shown that higher-order quasiconvex functions suitable in the variational treatm...
Deciding whether a given function is quasiconvex is generally a difficult task. Here, we discuss a n...
Abstract. Let MN×n be the space of real N × n matrices. We construct non-negative quasiconvex functi...
Deciding whether a given function is quasiconvex is generally a difficult task. Here, we discuss a n...
We provide an alternative proof (based on ideas of mathematical programming) for the well-known quad...
AbstractIn this paper, a solvability theorem is proved for a class of quasiconvex mappings. The solv...
AbstractIn this paper, a solvability theorem is proved for a class of quasiconvex mappings. The solv...
Motivated by applications in materials science, a set of quasiconvexity at the boundary conditions i...
Motivated by applications in materials science, a set of quasiconvexity at the boundary conditions i...
AbstractWe prove that a quasiconvex function W:Mn×n→[0,∞] which is finite on the set Σ={F:detF=1} is...
It is shown that in the class of smooth real-valued functions on n × m matrices (n ≥ 3, m ≥ 2) there...
We give an example of a smooth function f : ℝ2×2 → ℝ, which is not polyconvex and which has the prop...
Let W be a function from the real m×n-matrices to the real numbers. If W is quasiconvex in the sense...
In this paper it is shown that higher-order quasiconvex functions suitable in the variational treatm...
In this paper it is shown that higher-order quasiconvex functions suitable in the variational treatm...
In this paper it is shown that higher-order quasiconvex functions suitable in the variational treatm...
Deciding whether a given function is quasiconvex is generally a difficult task. Here, we discuss a n...
Abstract. Let MN×n be the space of real N × n matrices. We construct non-negative quasiconvex functi...
Deciding whether a given function is quasiconvex is generally a difficult task. Here, we discuss a n...
We provide an alternative proof (based on ideas of mathematical programming) for the well-known quad...
AbstractIn this paper, a solvability theorem is proved for a class of quasiconvex mappings. The solv...
AbstractIn this paper, a solvability theorem is proved for a class of quasiconvex mappings. The solv...
Motivated by applications in materials science, a set of quasiconvexity at the boundary conditions i...
Motivated by applications in materials science, a set of quasiconvexity at the boundary conditions i...
AbstractWe prove that a quasiconvex function W:Mn×n→[0,∞] which is finite on the set Σ={F:detF=1} is...
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