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Displaying 641 – 660 of 683

Approximations by regular sets and Wiener solutions in metric spaces

Anders Björn, Jana Björn (2007)

Commentationes Mathematicae Universitatis Carolinae

Let $X$ be a complete metric space equipped with a doubling Borel measure supporting a weak Poincaré inequality. We show that open subsets of $X$ can be approximated by regular sets. This has applications in nonlinear potential theory on metric spaces. In particular it makes it possible to define Wiener solutions of the Dirichlet problem for $p$ -harmonic functions and to show that they coincide with three other notions of generalized solutions.

Approximations of parabolic variational inequalities

Alexander Ženíšek (1985)

Aplikace matematiky

The paper deals with an initial problem of a parabolic variational inequality whichcontains a nonlinear elliptic form $a (v, w)$ having a potential $J (v)$ , which is twice $G$ -differentiable at arbitrary $v \in H^{1} (Ω)$ . This property of $a (v, w)$ makes it possible to prove convergence of an approximate solution defined by a linearized scheme which is fully discretized - in space by the finite elements method and in time by a one-step finite-difference method. Strong convergence of the approximate solution is proved without any regularity...

A-quasiconvexity : relaxation and homogenization

Andrea Braides, Irene Fonseca, Giovanni Leoni (2000)

ESAIM: Control, Optimisation and Calculus of Variations

A-Quasiconvexity: Relaxation and Homogenization

Andrea Braides, Irene Fonseca, Giovanni Leoni (2010)

ESAIM: Control, Optimisation and Calculus of Variations

Integral representation of relaxed energies and of Γ-limits of functionals $(u, v) \mapsto \int_{Ω} f (x, u (x), v (x)) d x$ are obtained when sequences of fields v may develop oscillations and are constrained to satisfy a system of first order linear partial differential equations. This framework includes the treatement of divergence-free fields, Maxwell's equations in micromagnetics, and curl-free fields. In the latter case classical relaxation theorems in W1,p, are recovered.

A-quasiconvexity : weak-star convergence and the gap

Irene Fonseca, Giovanni Leoni, Stefan Müller (2004)

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

Are some optimal shape problems convex?

Kawohl, Bernd, Lang, Jan (1997)

Journal of Convex Analysis

Area Maximizing Hypersurfaces in Minkowski Space Having an Isolated Singularity.

Klaus Ecker (1986)

Manuscripta mathematica

Area minimizing hypersurfaces with isolated singularities.

Leon Simon, Robert Hardt (1985)

Journal für die reine und angewandte Mathematik

Area minimizing hypersurfaces with precribed volume and boundary.

Klaus Steffen, Frank Duzaar (1992)

Mathematische Zeitschrift

Area of contraction of Newton's method applied to a penalty technique for obstacle problems

Klaus Böhmer, Christian Grossmann (1993)

Applications of Mathematics

Area-minimizing integral currents with movable boundary parts of prescribed mass

Klaus Ecker (1989)

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

Arrow-type sufficient conditions for optimality of age-structured control problems

Vladimir Krastev (2013)

Open Mathematics

We consider a class of age-structured control problems with nonlocal dynamics and boundary conditions. For these problems we suggest Arrow-type sufficient conditions for optimality of problems defined on finite as well as infinite time intervals. We examine some models as illustrations (optimal education and optimal offence control problems).

Asignación de recursos Max-Min: propiedades y algoritmos.

Amparo Mármol Conde, Blas Pelegrín Pelegrín (1991)

Trabajos de Investigación Operativa

Este trabajo trata el problema de asignación de recursos cuando el objetivo es maximizar la mínima recompensa y las funciones recompensa son continuas y estrictamente crecientes. Se estudian diferentes propiedades que conducen a algoritmos que permiten de forma eficiente la resolución de gran variedad de problemas de esta naturaleza, tanto con variables continuas como discretas.

Aspects of control for the normal Markov processes.

Saebi, Nasrollah (2004)

Bulletin of the Malaysian Mathematical Sciences Society. Second Series

Assimilation variationnelle de données océanographiques Approches primale et duale

Didier Auroux (2002)

Annales mathématiques Blaise Pascal

Asymmetric potentials and motor effect : a homogenization approach

Benoît Perthame, Panagiotis E. Souganidis (2009)

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

Asymmetric unbounded liquid bridges

Thomas I. Vogel (1982)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Asymptotic analysis, existence and sensitivity results for a class of multivalued complementarity problems

Fabián Flores-Bazán, Rubén López (2006)

ESAIM: Control, Optimisation and Calculus of Variations

In this work we study the multivalued complementarity problem on the non-negative orthant. This is carried out by describing the asymptotic behavior of the sequence of approximate solutions to its multivalued variational inequality formulation. By introducing new classes of multifunctions we provide several existence (possibly allowing unbounded solution set), stability as well as sensitivity results which extend and generalize most of the existing ones in the literature. We also present some kind...

Asymptotic behavior of regularizable minimizers of a Ginzburg-Landau functional in higher dimensions.

Lei, Yutian (2001)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Asymptotic behaviour and correctors for Dirichlet problems in perforated domains with homogeneous monotone operators

Gianni Dal Maso, François Murat (1997)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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