عنوان

Variational Methods :

(Number (ISBN

3662032120

(Number (ISBN

9783662032121

Number

b579284

Title Proper

Variational Methods :

General Material Designation

[Book]

Other Title Information

Applications to Nonlinear Partial Differential Equations and Hamiltonian Systems

First Statement of Responsibility

by Michael Struwe.

Edition Statement

Second, rev. and Substantially Expanded edition

Place of Publication, Distribution, etc.

Berlin, Heidelberg

Name of Publisher, Distributor, etc.

Springer Berlin Heidelberg

Date of Publication, Distribution, etc.

1996

Specific Material Designation and Extent of Item

(xvi, 272 pages)

Series Title

Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge, A Series of Modern Surveys in Mathematics, 34.

Text of Note

I. The Direct Methods in the Calculus of Variations --; II. Minimax Methods --; III. Limit Cases of the Palais-Smale Condition --; Appendix A --; Sobolev Spaces --; Hölder Spaces --; Imbedding Theorems --; Density Theorem --; Trace and Extension Theorems --; Poincaré Inequality --; Appendix B --; Schauder Estimates --; Weak Solutions --; A Regularity Result --; Maximum Principle --; Weak Maximum Principle --; Application --; Appendix C --; Fréchet Differentiability --; Natural Growth Conditions --; References.

Text of Note

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 Radò. 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.

Global analysis (Mathematics)

Mathematics.

Systems theory.

by Michael Struwe.

Michael Struwe

Electronic name

[Book]

Y