Variational Principles in Mathematical Physics, Geometry, and Economics : Qualitative Analysis of Nonlinear Equations and Unilateral Problems

Krista ly, Alexandru; Ra?dulescu, Vicent iu D.; Varga, Csaba

ISBN 10: 0521117828 / ISBN 13: 9780521117821

Edité par Cambridge University Press, 2010

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Titre : Variational Principles in Mathematical ...

Éditeur : Cambridge University Press

Date d'édition : 2010

Reliure : Couverture rigide

Etat : As New

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Présentation de l'éditeur:

This comprehensive introduction to the calculus of variations and its main principles also presents their real-life applications in various contexts: mathematical physics, differential geometry, and optimization in economics. Based on the authors' original work, it provides an overview of the field, with examples and exercises suitable for graduate students entering research. The method of presentation will appeal to readers with diverse backgrounds in functional analysis, differential geometry and partial differential equations. Each chapter includes detailed heuristic arguments, providing thorough motivation for the material developed later in the text. Since much of the material has a strong geometric flavor, the authors have supplemented the text with figures to illustrate the abstract concepts. Its extensive reference list and index also make this a valuable resource for researchers working in a variety of fields who are interested in partial differential equations and functional analysis.