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Variational Principles in Mathematical Physics Geometry and Economics 1st Edition by Alexandru Kristály, Vicenţiu Radulescu, Csaba György Varga 9780521117821 0521117828

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Variational Principles in Mathematical Physics Geometry and Economics Qualitative Analysis of Nonlinear Equations and Unilateral Problems Alexandru Kristály Digital Instant Download

Author(s): Alexandru Kristály, Vicenţiu D. Rădulescu, Csaba Varga
ISBN(s): 9780521117821, 0521117828
Edition: final draft
File Details: PDF, 1.94 MB
Year: 2010
Language: english
SKU: EB-4165942 Category: Tags: , ,

Variational Principles in Mathematical Physics Geometry and Economics 1st Edition by Alexandru Kristály, Vicenţiu Radulescu, Csaba György Varga – Ebook PDF Instant Download/Delivery: 9780521117821, 0521117828

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Product details:

ISBN 10: 0521117828

ISBN 13: 9780521117821

Author: Alexandru Kristály, Vicenţiu D. Radulescu, Csaba György Varga

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.

Table of contents:

Part I – Variational principles in mathematical physics

  • Chapter 1: Variational principles

  • Chapter 2: Variational inequalities

  • Chapter 3: Nonlinear eigenvalue problems

  • Chapter 4: Elliptic systems of gradient type

  • Chapter 5: Systems with arbitrary growth nonlinearities

  • Chapter 6: Scalar field systems

  • Chapter 7: Competition phenomena in Dirichlet problems

  • Chapter 8: Problems to Part I

Part II – Variational principles in geometry

  • Chapter 9: Sublinear problems on Riemannian manifolds

  • Chapter 10: Asymptotically critical problems on spheres

  • Chapter 11: Equations with critical exponent

  • Chapter 12: Problems to Part II

Part III – Variational principles in economics

  • Chapter 13: Mathematical preliminaries

  • Chapter 14: Minimization of cost-functions on manifolds

  • Chapter 15: Best approximation problems on manifolds

  • Chapter 16: A variational approach to Nash equilibria

  • Chapter 17: Problems to Part III

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Tags: Alexandru Kristály, Vicenţiu Radulescu, Csaba György Varga, Variational