| 000 -LEADER |
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| fixed length control field |
03908nam a22005175i 4500 |
| 001 - CONTROL NUMBER |
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| control field |
978-3-540-74013-1 |
| 003 - CONTROL NUMBER IDENTIFIER |
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| control field |
DE-He213 |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20161121231214.0 |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION |
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| fixed length control field |
cr nn 008mamaa |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
100301s2008 gw | s |||| 0|eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9783540740131 |
| -- |
978-3-540-74013-1 |
| 024 7# - OTHER STANDARD IDENTIFIER |
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| Standard number or code |
10.1007/978-3-540-74013-1 |
| Source of number or code |
doi |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER |
|---|
| Classification number |
Q295 |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER |
|---|
| Classification number |
QA402.3-402.37 |
| 072 #7 - SUBJECT CATEGORY CODE |
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| Subject category code |
GPFC |
| Source |
bicssc |
| 072 #7 - SUBJECT CATEGORY CODE |
|---|
| Subject category code |
SCI064000 |
| Source |
bisacsh |
| 072 #7 - SUBJECT CATEGORY CODE |
|---|
| Subject category code |
TEC004000 |
| Source |
bisacsh |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
519 |
| Edition number |
23 |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
|---|
| Personal name |
Struwe, Michael. |
| Relator term |
author. |
| 245 10 - TITLE STATEMENT |
|---|
| Title |
Variational Methods |
| Medium |
[electronic resource] : |
| Remainder of title |
Applications to Nonlinear Partial Differential Equations and Hamiltonian Systems / |
| Statement of responsibility, etc. |
by Michael Struwe. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE |
|---|
| Place of production, publication, distribution, manufacture |
Berlin, Heidelberg : |
| Name of producer, publisher, distributor, manufacturer |
Springer Berlin Heidelberg, |
| Date of production, publication, distribution, manufacture, or copyright notice |
2008. |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
XX, 302 p. |
| Other physical details |
online resource. |
| 336 ## - CONTENT TYPE |
|---|
| Content type term |
text |
| Content type code |
txt |
| Source |
rdacontent |
| 337 ## - MEDIA TYPE |
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| Media type term |
computer |
| Media type code |
c |
| Source |
rdamedia |
| 338 ## - CARRIER TYPE |
|---|
| Carrier type term |
online resource |
| Carrier type code |
cr |
| Source |
rdacarrier |
| 347 ## - DIGITAL FILE CHARACTERISTICS |
|---|
| File type |
text file |
| Encoding format |
PDF |
| Source |
rda |
| 490 1# - SERIES STATEMENT |
|---|
| Series statement |
Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics ; |
| Volume/sequential designation |
34 |
| 505 0# - FORMATTED CONTENTS NOTE |
|---|
| Formatted contents note |
The Direct Methods in the Calculus of Variations -- Lower Semi-Continuity -- Constraints -- Compensated Compactness -- The Concentration-Compactness Principle -- Ekeland's Variational Principle -- Duality -- Minimization Problems Depending on Parameters -- Minimax Methods -- The Finite Dimensional Case -- The Palais-Smale Condition -- A General Deformation Lemma -- The Minimax Principle -- Index Theory -- The Mountain Pass Lemma and its Variants -- Perturbation Theory -- Linking -- Parameter Dependence -- Critical Points of Mountain Pass Type -- Non-Differentiable Functionals -- Ljusternik-Schnirelman Theory on Convex Sets -- Limit Cases of the Palais-Smale Condition -- Pohozaev's Non-Existence Result -- The Brezis-Nierenberg Result -- The Effect of Topology -- The Yamabe Problem -- The Dirichlet Problem for the Equation of Constant Mean Curvature -- Harmonic Maps of Riemannian Surfaces -- Appendix A -- Appendix B -- Appendix C -- References -- Index. |
| 520 ## - SUMMARY, ETC. |
|---|
| Summary, etc. |
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 the field. The fourth edition gives a survey on new developments in the field. In particular it includes the proof for the convergence of the Yamabe flow and a detailed treatment of the phenomenon of blow-up. Also the recently discovered results for backward bubbling in the heat flow for harmonic maps or surfaces are discussed. Aside from these more significant additions, a number of smaller changes throughout the text have been made and the references have been updated. |
| 650 0# - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Mathematics. |
| 650 0# - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Mathematical analysis. |
| 650 0# - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Analysis (Mathematics). |
| 650 0# - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
System theory. |
| 650 0# - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Calculus of variations.1 |
| 650 4# - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Mathematics.2 |
| 650 4# - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Systems Theory, Control.2 |
| 650 4# - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Calculus of Variations and Optimal Control; Optimization.2 |
| 650 4# - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Analysis.2 |
| 710 ## - ADDED ENTRY--CORPORATE NAME |
|---|
| Corporate name or jurisdiction name as entry element |
SpringerLink (Online service)0 |
| 773 ## - HOST ITEM ENTRY |
|---|
| Title |
Springer eBooks0 |
| 776 8# - ADDITIONAL PHYSICAL FORM ENTRY |
|---|
| Relationship information |
Printed edition: |
| International Standard Book Number |
9783540740124 |
| 830 0# - SERIES ADDED ENTRY--UNIFORM TITLE |
|---|
| Uniform title |
Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics ; |
| Volume/sequential designation |
344 |
| 856 0# - ELECTRONIC LOCATION AND ACCESS |
|---|
| Uniform Resource Identifier |
http://dx.doi.org/10.1007/978-3-540-74013-1 |
| 912 ## - |
|---|
| -- |
ZDB-2-SMA |
