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BestsellerE-book
Author Jabri, Youssef, 1970-

Title The mountain pass theorem : variants, generalizations and some applications / Youssef Jabri.

Publication Info. Cambridge ; New York : Cambridge University Press, 2003.
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Online eBook. Access restricted to current Rider University students, faculty, and staff.
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Description 1 online resource (xii, 369 pages) : illustrations.
Physical Medium polychrome
Description text file
Series Encyclopedia of mathematics and its applications ; 95
Encyclopedia of mathematics and its applications ; v. 95.
Bibliography Includes bibliographical references (pages 323-364) and index.
Contents 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.
Summary 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.
Local Note eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America
Subject Mountain pass theorem.
Mountain pass theorem.
Critical point theory (Mathematical analysis)
Critical point theory (Mathematical analysis)
Hamiltonian systems.
Hamiltonian systems.
Variational principles.
Variational principles.
Variational inequalities (Mathematics)
Variational inequalities (Mathematics)
Maxima and minima.
Maxima and minima.
Nonsmooth optimization.
Nonsmooth optimization.
Genre/Form Electronic books.
Other Form: Print version: Jabri, Youssef, 1970- Mountain pass theorem. Cambridge ; New York : Cambridge University Press, 2003 0521827213 (DLC) 2003043597 (OCoLC)51756063
ISBN 0511062672 (electronic book)
9780511062674 (electronic book)
9780511546655 (electronic book)
0511546653 (electronic book)
9780511071133 (electronic book)
0511071132 (electronic book)
1280415452
9781280415456
0521827213 (Cloth)
Report No. 9780511062674 (electronic bk.)

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