ENGLISH

Critical Points at Infinity in Some Variational Problems

By A. Bahri

Book information

Publisher
Longman Higher Education
Year
1989
ISBN
0582021642, 9780582021648
Language
english
Format
DJVU
Filesize
2 MB (2214301 bytes)
Series
Pitman Research Notes in Mathematics Series
Edition
1ST
Pages
336\337
Scanned
yes
Time added
2014-06-21 22:33:21

Description

(This research Note displays new phenomena in chosen variational problems of nonlinear analysis and geometry. The author develops further his ideas which first appeared in a previous volume in the series Pseudo-Orbits of Contact Form. The associated variational problem, which is known to bear features of noncompactness is studied from a dynamical systems point of view. Professor Bahri describes flow-lines of the gradient flow and illustrates that the Palais-Smale condition can be satisfied along flow-lines while it fails for the variational problems. A new concept is also introduced, the concept of critical points at infinity. He then proceeds to prove existence theorems for the equations which have been considered. This text should be of interest to professional mathematicians and research students in applied and pure mathematics).

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