Mountain pass theorem: variants, generalizations and some applications, Vol. 95
Jabri, Youssef
Mountain pass theorem: variants, generalizations and some applications, Vol. 95 - Cambridge: Cambridge University Press, 2003. - xii, 369 p.; pb; 24 cm. - Encyclopedia of mathematics and its applications .
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.
9781107403338
Variational Principles
Maxima
Minima
Critical Point Theory
515.64 / JAB
Mountain pass theorem: variants, generalizations and some applications, Vol. 95 - Cambridge: Cambridge University Press, 2003. - xii, 369 p.; pb; 24 cm. - Encyclopedia of mathematics and its applications .
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.
9781107403338
Variational Principles
Maxima
Minima
Critical Point Theory
515.64 / JAB
