Results 81 to 90 of about 532 (159)
Symmetric Div-Quasiconvexity and the Relaxation of Static Problems
, 2020 We consider problems of static equilibrium in which the primary unknown is the stress field and the solutions maximize a complementary energy subject to equilibrium constraints. A necessary and sufficient condition for the sequential lower-semicontinuity
Conti, S., Müller, S., Ortiz, M.
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Quasiconvexity: the quadratic case revisited, and some consequences for fourthdegree polynomials [PDF]
, 2020 We provide an alternative proof for the well-known quadratic case for which quasiconvexity and rank-one convexity are equivalent, which does not make use of Plancherel formula.
Luís Bandeira, Pablo Pedregal
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A note on the quasiconvex Jensen divergences and the quasiconvex Bregman divergences derived thereof
CoRR, 2019 19 pages, 3 figures, 1 ...
Frank Nielsen, Gaëtan Hadjeres
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Exploiting Local Quasiconvexity for Gradient Estimation in Modifier-Adaptation Schemes [PDF]
A new approach for gradient estimation in the context of real-time optimization under uncertainty is proposed in this paper. While this estimation problem is often a difficult one, it is shown that it can be simplified significantly if an assumption on ...
Bonvin, Dominique +2 more
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CoRR, 2004 We define quasiconvex programming, a form of generalized linear programming in which one seeks the point minimizing the pointwise maximum of a collection of quasiconvex functions. We survey algorithms for solving quasiconvex programs either numerically or via generalizations of the dual simplex method from linear programming, and describe varied ...
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Quasiconvexity and Relaxation in Optimal Transportation of Closed Differential Forms
This manuscript extends the relaxation theory from nonlinear elasticity to electromagnetism and to actions defined on paths of differential forms. The introduction of a gauge allows for a reformulation of the notion of quasiconvexity in Bandyopadhyay et ...
Gangbo, Wilfrid, Dacorogna, Bernard
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X-quasiconvexity in Carnot Groups and lower semicontinuity results
, 2009 We characterize lower semicontinuity of integral functionals of the calculus of variations in the setting of Carnot Groups. Accordingly, we introduce the notion of X-quasiconvexity, that is referred to the family of H\"ormander vector fields, associated ...
VERDE, ANNA, STROFFOLINI, BIANCA
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, 2021 A Gårding-type inequality is proved for a quadratic form associated to $\mathcal{A}$-quasiconvex functions. This quadratic form appears as the relative entropy in the theory of conservation laws and it is related to the Weierstrass excess function in the
Andreas Panagiotis Vikelis (6268091) +1 more
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, 2019 In this note we formulate a sufficient condition for the quasiconvexity at $x ____mapsto ____l x$ of certain functionals $I(u)$ which model the stored-energy of elastic materials subject to a deformation $u$.
Zeppieri, Caterina Ida +1 more
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On Quasiconvexity of Precompact-Subset Spaces
Let $X$ be a metric space and $BCl(X)$ the collection of nonempty bounded closed subsets of $X$ as a metric space with respect to Hausdorff distance. We study both characterization and representation of Lipschitz paths in $BCl(X)$ in terms of Lipschitz ...
Akofor, Earnest
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