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 |