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Long-time behaviour and bifurcation analysis of a two-species aggregation-diffusion system on the torus. [PDF]

Calc Var Partial Differ Equ
Carrillo JA, Salmaniw Y.
europepmc   +1 more source

A Mathematical Approach on the Limits of ceRNA Hypothesis Through an Ordinary Differential Equations (ODE) Model of mRNA-microRNA Interactions. [PDF]

Noncoding RNA
Flondor P, Olteanu M, Stefan R, Minciuna CE, Vasilescu C.   +4 more
europepmc   +1 more source

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Functions of Bounded Variation¶and Rearrangements

Archive for Rational Mechanics and Analysis, 2002
The authors study the properties of the symmetric rearrangement \(u^*\) of a function \(u\) when \(u\) is of bounded variation in \({\mathbb R}^n\). Among these properties, the continuity and the approximate differentiability of \(u^*\) on the level sets \(\{u^*=t\}\) is investigated.
Nicola Fusco, Andrea Cianchi
exaly   +5 more sources

Omniscience Principles and Functions of Bounded Variation

Mathematical Logic Quarterly, 2002
Omniscience principles are general statements that can be proved classically but not constructively. They are used to show that other, more subject-specific statements that imply some omniscience principle do not have a constructive proof. The strongest omniscience principle is the law of excluded middle itself.
Fred Richman
exaly   +4 more sources

Minimal surfaces and functions of bounded variation

, 1977
E. Giusti
semanticscholar   +3 more sources

Functions of bounded variation and polarization

Mathematische Nachrichten, 2009
AbstractIt is known that, ifuis a real valued function on ℝNof bounded variation, then its total variation decreases under polarization. In this paper we identify the difference between the total variation ofuand that one of its polaruΠ(© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
ALBERICO A, FERONE, Adele, VOLPICELLI R.
openaire   +6 more sources

Functions of bounded variation and curves in metric measure spaces

Advances in Calculus of Variations, 2016
Olli Martio
exaly   +2 more sources

Functionals of Bounded Frechet Variation

Canadian Journal of Mathematics, 1949
In a series of papers which will follow this paper the authors will present a theory of functionals which are bilinear over a product A × B of two normed vector spaces A and B. This theory will include a representation theory, a variational theory, and a spectral theory.
Morse, Marston, Transue, William
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ON FUNCTIONS OF GENERALIZED BOUNDED VARIATION

Mathematics of the USSR-Izvestiya, 1983
The following theorem by F. and M. Riesz is well known: If \(\Phi\) and its conjugate \({\tilde \Phi}\) are functions of bounded variation then \(\Phi\) and \({\tilde \Phi}\) are absolutely continuous. The author obtains the following generalization of this theorem. Theorem.
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