Browsing by Author "11d6deb7-7523-4b67-81fa-503c38fe1720"
Now showing items 1-12 of 12
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(Springer Netherlands, 2018)In this work we are interested in the Demyanov–Ryabova conjecture for a finite family of polytopes. The conjecture asserts that after a finite number of iterations (successive dualizations), either a 1-cycle or a 2-cycle ...
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(Springer, 2020)The ordinary differential equation x˙ (t) = f(x(t)), t ≥ 0, for f measurable, is not sufficiently regular to guarantee existence of solutions. To remedy this we may relax the problem by replacing the function f with its ...
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(Amer Mathematical Soc, 2018)We give a simple alternative proof for the C-1,C-1-convex extension problem which has been introduced and studied by D. Azagra and C. Mudarra (2017). As an application, we obtain an easy constructive proof for the ...
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(Society for Industrial and Applied Mathematics Publications, 2018)We disclose an interesting connection between the gradient flow of a C 2 - smooth function ψ and evanescent orbits of the second order gradient system defined by the square-norm of ∇ψ, under adequate convexity assumption. ...
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(Society for Industrial and Applied Mathematics Publications, 2019)In this paper we establish that the set of Lipschitz functions f : U → R (U a nonempty open subset of ` 1 d ) with maximal Clarke subdifferential contains a linear subspace of uncountable dimension (in particular, an ...
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(Springer New York LLC, 2019)© 2018, Springer Science+Business Media, LLC, part of Springer Nature.The metric notion of a self-contracted curve (respectively, self-expanded curve, if we reverse the orientation) is hereby extended in a natural way. Two ...
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(Siam, 2020)We construct examples of Lipschitz continuous functions, with pathological subgradient dynamics in both continuous and discrete time. In both settings, the iterates generate bounded trajectories and yet fail to detect any ...
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(Hebrew Univ. Magnes Press, 2016)We establish a "preparatory Sard theorem" for smooth functions with a partially affine structure. By means of this result, we improve a previous result of Rifford [17, 19] concerning the generalized (Clarke) critical values ...
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(Academic Press Inc., 2018)It is established that every self-contracted curve in a Riemannian manifold has finite length, provided its image is contained in a compact set.
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(Elsevier, 2020)The convex cone SC1 SLip(X) of real-valued smooth semi-Lipschitz functions on a Finsler manifold X is an order-algebraic structure that captures both the differentiable and the quasi-metric feature of X. In this work ...
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(Springer, 2016-02)A set of n x n symmetric matrices whose ordered vector of eigenvalues belongs to a fixed set in R-n is called spectral or isotropic. In this paper, we establish that every locally symmetric C-k submanifold M of R-n gives ...
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(Centre de diffusion des revues académiques de mathématiques, 2017)We show that any semi-algebraic sweeping process admits piecewise absolutely continuous solutions (trajectories), and any such bounded trajectory must have finite length. Analogous results hold more generally for ...
