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The Mountain Pass Theorem: Variants, Generalizations and Some Applications

The Mountain Pass Theorem: Variants, Generalizations and Some Applications

Hardcover

Series: Encyclopedia of Mathematics and Its Applications, Book 95

CalculusGeneral MathematicsGeneral Science

ISBN10: 0521827213
ISBN13: 9780521827218
Publisher: Cambridge University Press
Published: Sep 15 2003
Pages: 382
Weight: 1.52
Height: 1.14 Width: 6.44 Depth: 9.44
Language: English
Joussef Jabri presents min-max methods through a comprehensive study of the different faces of the celebrated Mountain Pass Theorem (MPT) of Ambrosetti and Rabinowitz. Jabri clarifies the extensions and variants of the MPT in a complete and unified way and covers standard topics: the classical and dual MPT; second-order information from PS sequences; symmetry and topological index theory; perturbations from symmetry; convexity and more. He also covers the non-smooth MPT; the geometrically constrained MPT; numerical approaches to the MPT; and even more exotic variants. A bibliography and detailed index are also included.

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