Results 21 to 30 of about 114 (72)
Some new results on a Lavrentieff phenomenon for problems of homogenization with constraints on the gradient [PDF]
, 2000 In this paper we analyze, in the context of a Lavrentieff phenomenon, the process of homogenization for Dirichlet ...
D'Apice, C., Durante, T., Gaudiello, A.
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, 2023 This is an overview of the life and works of Pavel Florensky, an important and singular figure of the period rightly described as the \emph{Silver Age of Russian mathematics}, with a substantial overlap with the \emph{Silver Age of Russian literature ...
Papadopoulos, Athanase
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Nonoccurrence of Lavrentiev gap for a class of functionals with nonstandard growth [PDF]
: We consider the functional u f x Du x x ≔ ∫ , d, Ω ( ) ( ( )) where fxz ( ) , satisfies a (p q, )-growth condition with respect to z and can be approximated by means of a suitable sequence of functions.
De Filippis, Filomena +2 more
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A new example for the Lavrentiev phenomenon in Nonlinear Elasticity [PDF]
We present a new example for the Lavrentiev phenomenon in context of nonlinear elasticity, caused by an interplay of the elastic energy’s resistance to infinite compression and the Ciarlet–Nečas condition, a constraint preventing global interpenetration
Anastasia Molchanova +2 more
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Orthogonal Polynomials on S-Curves Associated with Genus One Surfaces [PDF]
, 2020 Indiana University-Purdue University Indianapolis (IUPUI)We consider orthogonal polynomials P_n satisfying orthogonality relations where the measure of orthogonality is, in general, a complex-valued Borel measure supported on subsets of the complex plane.
Barhoumi, Ahmad
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Smoothing of Transport Plans with Fixed Marginals and Rigorous Semiclassical Limit of the Hohenberg–Kohn Functional [PDF]
, 2018 We prove rigorously that the exact N-electron Hohenberg–Kohn density functional converges in the strongly interacting limit to the strictly correlated electrons (SCE) functional, and that the absolute value squared of the associated constrained search ...
Cotar, C, Friesecke, G, Klüppelberg, C
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Quantitative nonlinear homogenization: control of oscillations
, 2021 Quantitative stochastic homogenization of linear elliptic operators is by now well-understood. In this contribution we move forward to the nonlinear setting of monotone operators with $p$-growth.
Clozeau, Nicolas, Gloria, Antoine
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Variations, approximation, and low regularity in one dimension [PDF]
, 2017 We investigate the properties of minimizers of one-dimensional variational problems when the Lagrangian has no higher smoothness than continuity. An elementary approximation result is proved, but it is shown that this cannot be in general of the form of ...
A Ferriero +13 more
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Absence of Lavrentiev's gap for anisotropic functionals
, 2022 We establish the absence of the Lavrentiev gap between Sobolev and smooth maps for a non-autonomous variational problem of a general structure, where the integrand is assumed to be controlled by a function which is convex and anisotropic with respect to ...
Borowski, Michał +2 more
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Challenges in Optimal Control of Nonlinear PDE-Systems [PDF]
, 2018 The workshop focussed on various aspects of optimal control problems for systems of nonlinear partial differential equations. In particular, discussions around keynote presentations in the areas of optimal control of nonlinear/non-smooth systems, optimal ...
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