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

✍ Scribed by Youssef Jabri

• Book ID: 127418876
• Year: 2003
• Tongue: English
• Weight: 2 MB
• Category: Library
• City: Cambridge; New York
• ISBN: 0511062672

✦ Synopsis

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.