The Resource Duality and perturbation methods in critical point theory, Nassif Ghoussoub

Duality and perturbation methods in critical point theory, Nassif Ghoussoub

Label
Duality and perturbation methods in critical point theory
Title
Duality and perturbation methods in critical point theory
Statement of responsibility
Nassif Ghoussoub
Title variation
Duality & Perturbation Methods in Critical Point Theory
Creator
Author
Subject
Language
eng
Summary
The calculus of variations has been an active area of mathematics for over 300 years. Its main use is to find stable critical points of functions for the solution of problems. To find unstable values, new approaches (Morse theory and min-max methods) were developed, and these are still being refined to overcome difficulties when applied to the theory of partial differential equations. Here, Professor Ghoussoub describes a point of view that may help when dealing with such problems. Building upon min-max methods, he systematically develops a general theory that can be applied in a variety of situations. In so doing he also presents a whole array of duality and perturbation methods. The prerequisites for following this book are relatively few; an appendix sketching certain methods in analysis makes the book reasonably self-contained. Consequently, it should be accessible to all mathematicians, pure or applied, economists and engineers working in nonlinear analysis or optimization
Member of
Cataloging source
UkCbUP
http://library.link/vocab/creatorDate
1953-
http://library.link/vocab/creatorName
Ghoussoub, N.
Dewey number
514/.74
Index
index present
LC call number
QA614.7
LC item number
.G48 1993
Literary form
non fiction
Nature of contents
dictionaries
Series statement
Cambridge tracts in mathematics
Series volume
107
http://library.link/vocab/subjectName
  • Critical point theory (Mathematical analysis)
  • Duality theory (Mathematics)
  • Perturbation (Mathematics)
Label
Duality and perturbation methods in critical point theory, Nassif Ghoussoub
Link
https://doi.org/10.1017/CBO9780511551703
Instantiates
Publication
Note
Title from publisher's bibliographic system (viewed on 05 Oct 2015)
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
Lipschitz and smooth perturbed minimization principles -- Linear and plurisubharmonic perturbed minimization principles -- The classical min-max theorem -- A strong form of the min-max principle -- Relaxed boundary conditions in the presence of a dual set -- The critical set in the mountain pass theorem -- Group actions and multplicity of critical points -- The Palais-Smale condition around a dual set -- examples -- Morse indices of min-max critical points -- the non degenerate case -- Morse indices of min-max critical points -- the degenerate case -- Morse-tye informationon Palais-Smale sequences -- Appendices
Extent
1 online resource (xviii, 258 pages)
Form of item
online
Isbn
9780511551703
Isbn Type
(ebook)
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other physical details
digital, PDF file(s).
Specific material designation
remote
System control number
(UkCbUP)CR9780511551703
Label
Duality and perturbation methods in critical point theory, Nassif Ghoussoub
Link
https://doi.org/10.1017/CBO9780511551703
Publication
Note
Title from publisher's bibliographic system (viewed on 05 Oct 2015)
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
Lipschitz and smooth perturbed minimization principles -- Linear and plurisubharmonic perturbed minimization principles -- The classical min-max theorem -- A strong form of the min-max principle -- Relaxed boundary conditions in the presence of a dual set -- The critical set in the mountain pass theorem -- Group actions and multplicity of critical points -- The Palais-Smale condition around a dual set -- examples -- Morse indices of min-max critical points -- the non degenerate case -- Morse indices of min-max critical points -- the degenerate case -- Morse-tye informationon Palais-Smale sequences -- Appendices
Extent
1 online resource (xviii, 258 pages)
Form of item
online
Isbn
9780511551703
Isbn Type
(ebook)
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other physical details
digital, PDF file(s).
Specific material designation
remote
System control number
(UkCbUP)CR9780511551703

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