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Quasiconvex extreme points of convex sets.
If the quasiconvex hull of a compact set in $R^{mtimes n}$ is convex then also for that is in a special structure of quasiconvex extreme points of compact convex sets. In particular, weshow that compact convex sets are lamination co...
BA - Obecná matematika
- 2002 •
- D
Rok uplatnění
D - Stať ve sborníku
Phase transitions with interfacial energy: interface null lagrangians, polyconvexity, and existence
For interfacial interactions of ?separable type the existence is proved of stable multiphase equilibrium states minimizing the total energy. The total energy includes a deformation dependent contribution along sharp interfaces separating? fo...
BA - Obecná matematika
- 2010 •
- D
Rok uplatnění
D - Stať ve sborníku
On the composition of quasiconvex functions and the transposition.
Original scientific paper dealing with On the composition of quasiconvex functions and the transposition.
BA - Obecná matematika
- 1999 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Equilibrium of phases with interfacial energy : a variational approach
representing two wells of the substance. The interfacial energy is interface polyconvex. The last notion is introduced and discussed, together with the interface quasiconvexity and interface null lagarangians. The...
BA - Obecná matematika
- 2011 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Limiting Normal Operator in Quasiconvex Analysis
Inspired by similar definition in subdifferential theory, we define limiting sublevel set and limiting normal operator maps for quasiconvex functions. These maps satisfy important properties as semicontinuity and quasimonotonicity. Moreover,...
BA - Obecná matematika
- 2015 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Computations of Quasiconvex Hulls of Isotropic Sets
We design an algorithm for computations of quasiconvex hulls of isotropic compact sets in in the space of 2×2 real matrices. Our approach uses a recent result by the first author [Adv. Calc. Var. 8 (2015) 43--53] on quasiconvex hull...
Pure mathematics
- 2017 •
- Jimp
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
A criterion of Gamma-nullness and differentiability of convex and quasiconvex functions
We introduce a criterion for a set to be Gamma-null. Using it we give a shorter proof of the result that the set of points where a continuous convex function on a separable Asplund space is not Frechet differentiable is Gamma-null. Our criterion also...
BA - Obecná matematika
- 2015 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Phase transitions with interfacial energy: convexity conditions and the existence of minimizers
The article presents a variational theory of sharp phase interfaces bearing a deformation dependent energy. The theory involves both the standard and Eshelby stresses. The constitutive theory is outlined including the symmetry considerations...
BA - Obecná matematika
- 2010 •
- D
Rok uplatnění
D - Stať ve sborníku
A-quasiconvexity at the boundary and weak lower semicontinuity of integral functionals
. In the special case A = curl, apart from the quasiconvexity of the integrand, the recession function's quasiconvexity at the boundary in the sense of Ball and Marsden is known to play a crucial role. Our newly defined notions of A...
Pure mathematics
- 2017 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
A note on equality of functional envelopes.
lamination. Further, we give theorems ensuring equality of the quasiconvex (polyconvex convexity assumptions on the quasiconvex (polyconvex) envelope....
BA - Obecná matematika
- 2003 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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