On a theorem in the theory of dimensionality
George Chogoshvili (1938)
Compositio Mathematica
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Displaying similar documents to “Dimension and -translations”
On a theorem in the theory of dimensionality
On the proof of a theorem of V. G. Boltianskij
Peter Štefan (1968)
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The Hausdorff dimension of some special plane sets
Jan Mařík (1994)
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A compact set is constructed such that each horizontal or vertical line intersects in at most one point while the -dimensional measure of is infinite for every .
Theoretical analysis of discrete contact problems with Coulomb friction
Tomáš Ligurský (2012)
Applications of Mathematics
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A discrete model of the two-dimensional Signorini problem with Coulomb friction and a coefficient of friction depending on the spatial variable is analysed. It is shown that a solution exists for any and is globally unique if is sufficiently small. The Lipschitz continuity of this unique solution as a function of as well as a function of the load vector is obtained. Furthermore, local uniqueness of solutions for arbitrary is studied. The question of existence of locally Lipschitz-continuous...
Retractions onto the Space of Continuous Divergence-free Vector Fields
Philippe Bouafia (2011)
Annales de la faculté des sciences de Toulouse Mathématiques
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We prove that there does not exist a uniformly continuous retraction from the space of continuous vector fields onto the subspace of vector fields whose divergence vanishes in the distributional sense. We then generalise this result using the concept of -charges, introduced by De Pauw, Moonens, and Pfeffer: on any subset satisfying a mild geometric condition, there is no uniformly continuous representation operator for -charges in .