Variational methods : applications to nonlinear partial differential equations and Hamiltonian systems

Bibliographic Information

Variational methods : applications to nonlinear partial differential equations and Hamiltonian systems

Michael Struwe

(Ergebnisse der Mathematik und ihrer Grenzgebiete, 3. Folge, v. 34)

Springer, c2008

4th ed

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Note

Includes bibliographical references (p. [277]-300) and index

Description and Table of Contents

Description

This, the fourth edition of Stuwe's book on the calculus of variations, surveys new developments in this exciting field. It also gives a concise introduction to variational methods. In particular it includes the proof for the convergence of the Yamabe flow and a detailed treatment of the phenomenon of blow-up. Recently discovered results for backward bubbling in the heat flow for harmonic maps or surfaces are discussed. A number of changes have been made throughout the text.

Table of Contents

The Direct Methods in the Calculus of Variations.- Minimax Methods.- Limit Cases of the Palais-Smale Condition.

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