Variational methods : applications to nonlinear partial differential equations and Hamiltonian systems
著者
書誌事項
Variational methods : applications to nonlinear partial differential equations and Hamiltonian systems
(Ergebnisse der Mathematik und ihrer Grenzgebiete, 3. Folge,
Springer, c2008
4th ed
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注記
Includes bibliographical references (p. [277]-300) and index
内容説明・目次
内容説明
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.
目次
The Direct Methods in the Calculus of Variations.- Minimax Methods.- Limit Cases of the Palais-Smale Condition.
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