000 01572 a2200217 4500
999 _c52769
_d52769
008 200320b ||||| |||| 00| 0 eng d
020 _a9781107403338
082 _a515.64
_bJAB
100 _aJabri, Youssef
245 _aMountain pass theorem: variants, generalizations and some applications, Vol. 95
260 _bCambridge University Press,
_c2003.
_aCambridge:
300 _axii, 369 p.;
_bpb;
_c24 cm.
365 _aGBP
_b67.00
440 _aEncyclopedia of mathematics and its applications
520 _aThis 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.
650 _aVariational Principles
650 _aMaxima
650 _aMinima
650 _aCritical Point Theory
942 _2ddc
_cTD