The Mountain Pass Theorem Variants, Generalizations and Some Applications (0521827213)

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Youssef Jabri , ""

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This impressive research monograph provides an excellent basis for an advanced course or a seminar on problems of modern nonlinear analysis. Zentralblatt MATH

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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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