9783528066239 - Topics in the Calculus of Variations (Advanced Lectures in Mathematics) di Fuchs, Martin (12 risultati)

Softcover. Condizione: Sehr gut. Braunschweig, Vieweg (1994). gr.8°. Some figs. VII, 144 p. Pbck. Advanced Studies in Mathematics.- Incl. bibliography.

Condizione: Sehr gut. Zustand: Sehr gut | Sprache: Englisch | Produktart: Bücher | This report grew out of a series of lectures given at the East China Institute of Technology, Nanjing, during September 1992. The purpose of this book is to make beginning research students familiar with some problems in varia­ tional calculus which have been chosen following my personal taste but with the attempt to illustrate two basic principles in the calculus of variations which are the fundamental question of existence of (generalized) solutions and closely related the question of regularity. Chapter one is devoted to the study of variational integrals for vectorvalued functions which began with the pioneering work of Morrey [68] in the thirties. We concentrate on problems where also nonlinear side conditions are imposed on the classes of admissi­ ble comparison functions. As special cases we include mappings whose range is forced to lie in some Riemannian manifold possibly with boundary or functions whose Jacobian is required to be strictly positive. The variational integrals under consideration are typically nonquadratic with respect to the gradient which immediately leads us to classes of degenerate elliptic systems. Let us mention some of the most important applications: ¿ p-harmonic maps between Riemannian manifolds ¿ systems of degenerate variational inequalities ¿ model problems in nonlinear elasticity. Usually by working in appropriate Sobolev spaces, the existence of gener­ alized solutions is rather easy to establish (see [7]) but leads to apriori dis­ continuous functions.

Condizione: New. pp. 145 Index.

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Taschenbuch. Condizione: Neu. Topics in the Calculus of Variations | Martin Fuchs | Taschenbuch | vii | Englisch | 1994 | Vieweg & Teubner | EAN 9783528066239 | Verantwortliche Person für die EU: Springer Vieweg in Springer Science + Business Media, Abraham-Lincoln-Str. 46, 65189 Wiesbaden, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu.

Paperback. Condizione: Brand New. 148 pages. 8.90x6.38x0.55 inches. In Stock.

Taschenbuch. Condizione: Neu. Druck auf Anfrage Neuware - Printed after ordering - This report grew out of a series of lectures given at the East China Institute of Technology, Nanjing, during September 1992. The purpose of this book is to make beginning research students familiar with some problems in varia tional calculus which have been chosen following my personal taste but with the attempt to illustrate two basic principles in the calculus of variations which are the fundamental question of existence of (generalized) solutions and closely related the question of regularity. Chapter one is devoted to the study of variational integrals for vectorvalued functions which began with the pioneering work of Morrey [68] in the thirties. We concentrate on problems where also nonlinear side conditions are imposed on the classes of admissi ble comparison functions. As special cases we include mappings whose range is forced to lie in some Riemannian manifold possibly with boundary or functions whose Jacobian is required to be strictly positive. The variational integrals under consideration are typically nonquadratic with respect to the gradient which immediately leads us to classes of degenerate elliptic systems. Let us mention some of the most important applications: - p-harmonic maps between Riemannian manifolds - systems of degenerate variational inequalities - model problems in nonlinear elasticity. Usually by working in appropriate Sobolev spaces, the existence of gener alized solutions is rather easy to establish (see [7]) but leads to apriori dis continuous functions.

Taschenbuch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This report grew out of a series of lectures given at the East China Institute of Technology, Nanjing, during September 1992. The purpose of this book is to make beginning research students familiar with some problems in varia tional calculus which have been chosen following my personal taste but with the attempt to illustrate two basic principles in the calculus of variations which are the fundamental question of existence of (generalized) solutions and closely related the question of regularity. Chapter one is devoted to the study of variational integrals for vectorvalued functions which began with the pioneering work of Morrey [68] in the thirties. We concentrate on problems where also nonlinear side conditions are imposed on the classes of admissi ble comparison functions. As special cases we include mappings whose range is forced to lie in some Riemannian manifold possibly with boundary or functions whose Jacobian is required to be strictly positive. The variational integrals under consideration are typically nonquadratic with respect to the gradient which immediately leads us to classes of degenerate elliptic systems. Let us mention some of the most important applications: - p-harmonic maps between Riemannian manifolds - systems of degenerate variational inequalities - model problems in nonlinear elasticity. Usually by working in appropriate Sobolev spaces, the existence of gener alized solutions is rather easy to establish (see [7]) but leads to apriori dis continuous functions. 160 pp. Englisch.

Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Prof. Dr. Martin Fuchs ist an der Universitaet des Saarlandes im Bereich Variationsrechnung und partielle Differentialgleichungen mit Bezuegen zur mathematischen Physik und Differentialgeometrie taetig.This book illustrates two basic principles in the calc.

Condizione: New. PRINT ON DEMAND pp. 145.

Condizione: New. Print on Demand pp. 145.

Taschenbuch. Condizione: Neu. This item is printed on demand - Print on Demand Titel. Neuware -Das Buch richtet sich an Mathematiker und Physiker mit Interesse an neuen Entwicklungen auf einem Teilgebiet der nichtlinearen Analysis, wo verschiedene Methoden zur Lösung variationeller Probleme zum Einsatz kommen. Es ist auch geeignet für Studenten mittlerer und höherer Semester mit Studienschwerpunkt Analysis. Das gehobene Niveau erfordert einige Grundkenntnisse, neue Begriffsbildungen werden allerdings am konkreten Problem entwickelt.Vieweg+Teubner Verlag, Abraham-Lincoln-Straße 46, 65189 Wiesbaden 160 pp. Englisch.