A simple proof of the Rademacher theorem
Aleš Nekvinda, Luděk Zajíček (1988)
Časopis pro pěstování matematiky
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Displaying similar documents to “On the domain of the implicit function and applications.”
A simple proof of the Rademacher theorem
Lipschitz modulus in convex semi-infinite optimization via d.c. functions
María J. Cánovas, Abderrahim Hantoute, Marco A. López, Juan Parra (2009)
ESAIM: Control, Optimisation and Calculus of Variations
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We are concerned with the Lipschitz modulus of the optimal set mapping associated with canonically perturbed convex semi-infinite optimization problems. Specifically, the paper provides a lower and an upper bound for this modulus, both of them given exclusively in terms of the problem’s data. Moreover, the upper bound is shown to be the exact modulus when the number of constraints is finite. In the particular case of linear problems the upper bound (or exact modulus) adopts a notably...
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...
On a certain converse statement of the Filippov-Ważewski relaxation theorem
Aurelian Cernea (2001)
Commentationes Mathematicae Universitatis Carolinae
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A certain converse statement of the Filippov-Wažewski theorem is proved. This result extends to the case of time dependent differential inclusions a previous result of Jo’o and Tallos in [5] obtained for autonomous differential inclusions.