TY  - BOOK
AU  - Jabri,Youssef
TI  - The mountain pass theorem: variants, generalizations, and some applications 
T2  - Encyclopedia of mathematics and its applications
SN  - 9780511546655 (ebook)
AV  - QA614.7 .J33 2003
U1  - 515/.64 21
PY  - 2003///
CY  - Cambridge
PB  - Cambridge University Press
KW  - Mountain pass theorem
KW  - Critical point theory (Mathematical analysis)
KW  - Hamiltonian systems
KW  - Variational principles
KW  - Variational inequalities (Mathematics)
KW  - Maxima and minima
KW  - Nonsmooth optimization
N1  - Title from publisher's bibliographic system (viewed on 05 Oct 2015)
N2  - 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
UR  - https://doi.org/10.1017/CBO9780511546655
ER  -