On a coregular division of a differential space by an equivalence relation
On a generalization of the Darboux theorem to the multidimensional case.
On a new class of elastic deformations not allowing for cavitation
On a set in under coordinate transformations
On the domain of the implicit function and applications.
On the notions of absolute continuity for functions of several variables
Absolutely continuous functions of n variables were recently introduced by J. Malý [5]. We introduce a more general definition, suggested by L. Zajíček. This new absolute continuity also implies continuity, weak differentiability with gradient in Lⁿ, differentiability almost everywhere and the area formula. It is shown that our definition does not depend on the shape of balls in the definition.
On the singular support of the distributional determinant
On weak Hessian determinants
We consider and study several weak formulations of the Hessian determinant, arising by formal integration by parts. Our main concern are their continuity properties. We also compare them with the Hessian measure.