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Názorné vysvětlování kapitoly o parciálních derivacích složené funkce

Robert Karpe (1963)

Pokroky matematiky, fyziky a astronomie

Necessary and sufficient conditions for a curve to be the gradient range of a $C^{1}$ -smooth function.

Korobkov, M.V., Panov, E.Yu. (2007)

Sibirskij Matematicheskij Zhurnal

Necessary and sufficient conditions for the chain rule in $W_{loc}^{1, 1} (ℝ^{N}; ℝ^{d})$ and $B V_{loc} (ℝ^{N}; ℝ^{d})$

Giovanni Leoni, Massimiliano Morini (2007)

Journal of the European Mathematical Society

We prove necessary and sufficient conditions for the validity of the classical chain rule in the Sobolev space $W_{loc}^{1, 1} (ℝ^{N}; ℝ^{d})$ and in the space $B V_{loc} (ℝ^{N}; ℝ^{d})$ of functions of bounded variation.

Necessary conditions for Lipschitz continuous discrete control problems

Jaroslav Doležal (1985)

Banach Center Publications

New variants of Khintchine's inequality.

Ioan Serb (2001)

Collectanea Mathematica

Variants of Khintchine's inequality with coefficients depending on the vector dimension are proved. Equality is attained for different types of extremal vectors. The Schur convexity of certain attached functions and direct estimates in terms of the Haagerup type of functions are also used.

Non-compact lamination convex hulls

Jan Kolář (2003)

Annales de l'I.H.P. Analyse non linéaire

Nonconvex Lipschitz function in plane which is locally convex outside a discontinuum

Dušan Pokorný (2014)

Commentationes Mathematicae Universitatis Carolinae

We construct a Lipschitz function on $ℝ^{2}$ which is locally convex on the complement of some totally disconnected compact set but not convex. Existence of such function disproves a theorem that appeared in a paper by L. Pasqualini and was also cited by other authors.

Non-parametric convex hypersurfaces with a curvature restriction

Rolf Schneider (1983)

Annales Polonici Mathematici

Note on a theorem by Reshetnyak-Gurov

Ingemar Wik (1987)

Studia Mathematica

Note on generalized multiple Perron integral

Josef Král (1985)

Časopis pro pěstování matematiky

Note On H-Convex Functions

Rade Živaljević (1979)

Publications de l'Institut Mathématique

Note on H-convex functions.

R. Zivaljevic (1979)

Publications de l'Institut Mathématique [Elektronische Ressource]

Note sur une formule de calcul intégral

F. Didon (1873)

Annales scientifiques de l'École Normale Supérieure

Note zu dem Aufsatze "über eine Eigenschaft von Functionaldeterminanten" Bd. 69, p. 355 dieses Journals.

A. Clebsch (1869)

Journal für die reine und angewandte Mathematik

Notes On Some Inequalities Of P. M. Vasić

Josip E. Pečarić (1980)

Publications de l'Institut Mathématique

Nouvelle démonstration du théorème de Stokes

R. Blondlot (1897)

Nouvelles annales de mathématiques : journal des candidats aux écoles polytechnique et normale

Nowhere monotone functions and a problem of K.M. Garg

Paul Humke (1983)

Fundamenta Mathematicae

Nullstellenverteilung zweier konvexgeometrischer Polynome

J. M. Wills (1989)

Beiträge zur Algebra und Geometrie = Contributions to algebra and geometry

Nuovi risultati sulla semicontinuità inferiore di certi funzionali integrali

Luigi Ambrosio (1985)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

Given an open subset $\Omega$ of $\mathbb{R}^{n}$ and a Borel function $f:\Omega\times\mathbb{R}\times\mathbb{R}^{n}\rightarrow[0,+\infty[$ , conditions on $f$ are given which assure the lower semicontinuity of the functional $\int_{\Omega}f(x,u,Du)\,dx$ with respect to different topologies.

Currently displaying 1 – 19 of 19

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