Variational Principles In Mathematical Physics Geometry And Economics
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Variational Principles in Mathematical Physics, Geometry, and Economics
"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"--
Variational Principles in Mathematical Physics, Geometry, and Economics
Author: Alexandru Kristály
language: en
Publisher: Cambridge University Press
Release Date: 2010-08-19
A comprehensive introduction to modern applied functional analysis. Assumes only basic notions of calculus, real analysis, geometry, and differential equations.
Nonlinear Problems with Lack of Compactness
Author: Giovanni Molica Bisci
language: en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date: 2021-02-08
This authoritative book presents recent research results on nonlinear problems with lack of compactness. The topics covered include several nonlinear problems in the Euclidean setting as well as variational problems on manifolds. The combination of deep techniques in nonlinear analysis with applications to a variety of problems make this work an essential source of information for researchers and graduate students working in analysis and PDE's.