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, c1996
2nd rev. and substantially expanded ed
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注記
Includes bibliographical references (p. [251]-270) and index
"The first edition appeard under the same title in 1990 as a monograph"--T.p. verso
内容説明・目次
内容説明
Hilbert's talk at the second International Congress of 1900 in Paris marked the beginning of a new era in the calculus of variations. A development began which, within a few decades, brought tremendous success, highlighted by the 1929 theorem of Ljusternik and Schnirelman on the existence of three distinct prime closed geodesics on any compact surface of genus zero, and the 1930/31 solution of Plateau's problem by Douglas and Rad . The book gives a concise introduction to variational methods and presents an overview of areas of current research in this field. This new edition has been substantially enlarged, a new chapter on the Yamabe problem has been added and the references have been updated. All topics are illustrated by carefully chosen examples, representing the current state of the art in their field.
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