Verfügbarkeit: The mountain pass theorem :

The mountain pass theorem :: variants, generalizations and some applications /

This book presents min-max methods through a comprehensive study of the different faces of the celebrated Mountain Pass Theorem (MPT) of Ambrosetti and Rabinowitz. The coverage includes standard topics: the classical and dual MPT; second-order information from PS sequences; symmetry and topological...

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Bibliographische Detailangaben
1. Verfasser:	Jabri, Youssef, 1970-
Format:	Elektronisch E-Book
Sprache:	English
Veröffentlicht:	Cambridge ; New York : Cambridge University Press, 2003.
Schriftenreihe:	Encyclopedia of mathematics and its applications ; v. 95.
Schlagworte:	Mountain pass theorem. Critical point theory (Mathematical analysis) Hamiltonian systems. Variational principles. Variational inequalities (Mathematics) Maxima and minima. Nonsmooth optimization. Théorème du col. Théorie des points critiques (Analyse mathématique) Systèmes hamiltoniens. Principes variationnels. Inégalités variationnelles. Maximums et minimums. Optimisation non différentiable. MATHEMATICS > Calculus. MATHEMATICS > Mathematical Analysis. Hamiltonian systems Maxima and minima Mountain pass theorem Nonsmooth optimization Variational principles Kritischer Punkt > Mathematik Plateau-Problem
Online-Zugang:	Volltext
Zusammenfassung:	This book presents min-max methods through a comprehensive study of the different faces of the celebrated Mountain Pass Theorem (MPT) of Ambrosetti and Rabinowitz. The coverage includes standard topics: the classical and dual MPT; second-order information from PS sequences; symmetry and topological index theory; perturbations from symmetry; convexity and more. But it also covers other topics covered nowhere else in book form: the non-smooth MPT; the geometrically constrained MPT; numerical approaches to the MPT; and even more exotic variants.
Beschreibung:	1 online resource (xii, 369 pages) : illustrations
Bibliographie:	Includes bibliographical references (pages 323-364) and index.
ISBN:	0511062672 9780511062674 9780511546655 0511546653 9780511071133 0511071132 1280415452 9781280415456 9780511205538 0511205538 9786610415458 6610415455 0511169574 9780511169571 0511308426 9780511308420 9781107403338 1107403332 0511056346 9780511056345

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MARC


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indexdate	2024-11-27T13:15:40Z
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spelling	Jabri, Youssef, 1970- https://id.oclc.org/worldcat/entity/E39PCjCDVvc8FHf4vvJhWHybFq http://id.loc.gov/authorities/names/n2003007175 The mountain pass theorem : variants, generalizations and some applications / Youssef Jabri. Cambridge ; New York : Cambridge University Press, 2003. 1 online resource (xii, 369 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier Encyclopedia of mathematics and its applications ; 95 Includes bibliographical references (pages 323-364) and index. Print version record. Cover; Half-title; Series-title; Title; Copyright; Dedication; Contents; Introduction; 1 Retrospective; 2 Palais-Smale Condition: Definitions and Examples; 3 Obtaining "Almost Critical Points" -- Variational Principle; 4 Obtaining "Almost Critical Points" -- The Deformation Lemma; 5 The Finite Dimensional MPT; 6 The Topological MPT; 7 The Classical MPT; 8 The Multidimensional MPT; 9 The Limiting Case in the MPT; 10 Palais-Smale Condition versus Asymptotic Behavior; 11 Symmetry and the MPT; 12 The Structure of the Critical Set in the MPT; 13 Weighted Palais-Smale Conditions. This book presents min-max methods through a comprehensive study of the different faces of the celebrated Mountain Pass Theorem (MPT) of Ambrosetti and Rabinowitz. The coverage includes standard topics: the classical and dual MPT; second-order information from PS sequences; symmetry and topological index theory; perturbations from symmetry; convexity and more. But it also covers other topics covered nowhere else in book form: the non-smooth MPT; the geometrically constrained MPT; numerical approaches to the MPT; and even more exotic variants. English. Mountain pass theorem. http://id.loc.gov/authorities/subjects/sh2003001072 Critical point theory (Mathematical analysis) http://id.loc.gov/authorities/subjects/sh85034142 Hamiltonian systems. http://id.loc.gov/authorities/subjects/sh85058563 Variational principles. http://id.loc.gov/authorities/subjects/sh85142098 Variational inequalities (Mathematics) http://id.loc.gov/authorities/subjects/sh85142097 Maxima and minima. http://id.loc.gov/authorities/subjects/sh85082365 Nonsmooth optimization. http://id.loc.gov/authorities/subjects/sh92002973 Théorème du col. Théorie des points critiques (Analyse mathématique) Systèmes hamiltoniens. Principes variationnels. Inégalités variationnelles. Maximums et minimums. Optimisation non différentiable. MATHEMATICS Calculus. bisacsh MATHEMATICS Mathematical Analysis. bisacsh Hamiltonian systems. cct Variational principles. cct Variational inequalities (Mathematics) cct Maxima and minima. cct Nonsmooth optimization. cct Mountain pass theorem. cct Critical point theory (Mathematical analysis) cct Critical point theory (Mathematical analysis) fast Hamiltonian systems fast Maxima and minima fast Mountain pass theorem fast Nonsmooth optimization fast Variational inequalities (Mathematics) fast Variational principles fast Kritischer Punkt Mathematik gnd http://d-nb.info/gnd/4207169-0 Plateau-Problem gnd http://d-nb.info/gnd/4174854-2 has work: The mountain pass theorem (Text) https://id.oclc.org/worldcat/entity/E39PCFRkYrBMBpPGkh9DyPpgcd https://id.oclc.org/worldcat/ontology/hasWork Print version: Jabri, Youssef, 1970- Mountain pass theorem. Cambridge ; New York : Cambridge University Press, 2003 0521827213 (DLC) 2003043597 (OCoLC)51756063 Encyclopedia of mathematics and its applications ; v. 95. http://id.loc.gov/authorities/names/n42010632 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=120687 Volltext
spellingShingle	Jabri, Youssef, 1970- The mountain pass theorem : variants, generalizations and some applications / Encyclopedia of mathematics and its applications ; Cover; Half-title; Series-title; Title; Copyright; Dedication; Contents; Introduction; 1 Retrospective; 2 Palais-Smale Condition: Definitions and Examples; 3 Obtaining "Almost Critical Points" -- Variational Principle; 4 Obtaining "Almost Critical Points" -- The Deformation Lemma; 5 The Finite Dimensional MPT; 6 The Topological MPT; 7 The Classical MPT; 8 The Multidimensional MPT; 9 The Limiting Case in the MPT; 10 Palais-Smale Condition versus Asymptotic Behavior; 11 Symmetry and the MPT; 12 The Structure of the Critical Set in the MPT; 13 Weighted Palais-Smale Conditions. Mountain pass theorem. http://id.loc.gov/authorities/subjects/sh2003001072 Critical point theory (Mathematical analysis) http://id.loc.gov/authorities/subjects/sh85034142 Hamiltonian systems. http://id.loc.gov/authorities/subjects/sh85058563 Variational principles. http://id.loc.gov/authorities/subjects/sh85142098 Variational inequalities (Mathematics) http://id.loc.gov/authorities/subjects/sh85142097 Maxima and minima. http://id.loc.gov/authorities/subjects/sh85082365 Nonsmooth optimization. http://id.loc.gov/authorities/subjects/sh92002973 Théorème du col. Théorie des points critiques (Analyse mathématique) Systèmes hamiltoniens. Principes variationnels. Inégalités variationnelles. Maximums et minimums. Optimisation non différentiable. MATHEMATICS Calculus. bisacsh MATHEMATICS Mathematical Analysis. bisacsh Hamiltonian systems. cct Variational principles. cct Variational inequalities (Mathematics) cct Maxima and minima. cct Nonsmooth optimization. cct Mountain pass theorem. cct Critical point theory (Mathematical analysis) cct Critical point theory (Mathematical analysis) fast Hamiltonian systems fast Maxima and minima fast Mountain pass theorem fast Nonsmooth optimization fast Variational inequalities (Mathematics) fast Variational principles fast Kritischer Punkt Mathematik gnd http://d-nb.info/gnd/4207169-0 Plateau-Problem gnd http://d-nb.info/gnd/4174854-2
subject_GND	http://id.loc.gov/authorities/subjects/sh2003001072 http://id.loc.gov/authorities/subjects/sh85034142 http://id.loc.gov/authorities/subjects/sh85058563 http://id.loc.gov/authorities/subjects/sh85142098 http://id.loc.gov/authorities/subjects/sh85142097 http://id.loc.gov/authorities/subjects/sh85082365 http://id.loc.gov/authorities/subjects/sh92002973 http://d-nb.info/gnd/4207169-0 http://d-nb.info/gnd/4174854-2
title	The mountain pass theorem : variants, generalizations and some applications /
title_auth	The mountain pass theorem : variants, generalizations and some applications /
title_exact_search	The mountain pass theorem : variants, generalizations and some applications /
title_full	The mountain pass theorem : variants, generalizations and some applications / Youssef Jabri.
title_fullStr	The mountain pass theorem : variants, generalizations and some applications / Youssef Jabri.
title_full_unstemmed	The mountain pass theorem : variants, generalizations and some applications / Youssef Jabri.
title_short	The mountain pass theorem :
title_sort	mountain pass theorem variants generalizations and some applications
title_sub	variants, generalizations and some applications /
topic	Mountain pass theorem. http://id.loc.gov/authorities/subjects/sh2003001072 Critical point theory (Mathematical analysis) http://id.loc.gov/authorities/subjects/sh85034142 Hamiltonian systems. http://id.loc.gov/authorities/subjects/sh85058563 Variational principles. http://id.loc.gov/authorities/subjects/sh85142098 Variational inequalities (Mathematics) http://id.loc.gov/authorities/subjects/sh85142097 Maxima and minima. http://id.loc.gov/authorities/subjects/sh85082365 Nonsmooth optimization. http://id.loc.gov/authorities/subjects/sh92002973 Théorème du col. Théorie des points critiques (Analyse mathématique) Systèmes hamiltoniens. Principes variationnels. Inégalités variationnelles. Maximums et minimums. Optimisation non différentiable. MATHEMATICS Calculus. bisacsh MATHEMATICS Mathematical Analysis. bisacsh Hamiltonian systems. cct Variational principles. cct Variational inequalities (Mathematics) cct Maxima and minima. cct Nonsmooth optimization. cct Mountain pass theorem. cct Critical point theory (Mathematical analysis) cct Critical point theory (Mathematical analysis) fast Hamiltonian systems fast Maxima and minima fast Mountain pass theorem fast Nonsmooth optimization fast Variational inequalities (Mathematics) fast Variational principles fast Kritischer Punkt Mathematik gnd http://d-nb.info/gnd/4207169-0 Plateau-Problem gnd http://d-nb.info/gnd/4174854-2
topic_facet	Mountain pass theorem. Critical point theory (Mathematical analysis) Hamiltonian systems. Variational principles. Variational inequalities (Mathematics) Maxima and minima. Nonsmooth optimization. Théorème du col. Théorie des points critiques (Analyse mathématique) Systèmes hamiltoniens. Principes variationnels. Inégalités variationnelles. Maximums et minimums. Optimisation non différentiable. MATHEMATICS Calculus. MATHEMATICS Mathematical Analysis. Hamiltonian systems Maxima and minima Mountain pass theorem Nonsmooth optimization Variational principles Kritischer Punkt Mathematik Plateau-Problem
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work_keys_str_mv	AT jabriyoussef themountainpasstheoremvariantsgeneralizationsandsomeapplications AT jabriyoussef mountainpasstheoremvariantsgeneralizationsandsomeapplications

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