This 2003 book presents min-max methods through a study of the different faces of the celebrated Mountain Pass Theorem (MPT) of Ambrosetti and Rabinowitz. The reader is led from the most accessible results to the forefront of the theory, and at each step in this walk between the hills, the author presents the extensions and variants of the MPT in a complete and unified way. Coverage includes standard topics, 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. Each chapter has a section with supplementary comments and bibliographical notes, and there is a rich bibliography and a detailed index to aid the reader. The book is suitable for researchers and graduate students. Nevertheless, the style and the choice of the material make it accessible to all newcomers to the field.
By:
Youssef Jabri (Mohammed First University Oujda) Imprint: Cambridge University Press Country of Publication: United Kingdom Volume: 95 Dimensions:
Height: 234mm,
Width: 156mm,
Spine: 20mm
Weight: 540g ISBN:9781107403338 ISBN 10: 1107403332 Series:Encyclopedia of Mathematics and its Applications Pages: 382 Publication Date:15 September 2011 Audience:
Professional and scholarly
,
Undergraduate
Format:Paperback Publisher's Status: Active
Reviews for The Mountain Pass Theorem: Variants, Generalizations and Some Applications
Review of the hardback: 'This impressive research monograph provides an excellent basis for an advanced course or a seminar on problems of modern nonlinear analysis.' Zentralblatt MATH