New Periodic Solutions for N-Body Problems with Weak Force Potentials

Pengfei Yuan; Shiqing Zhang

Bollettino dell'Unione Matematica Italiana (2012)

  • Volume: 5, Issue: 1, page 93-112
  • ISSN: 0392-4041

Abstract

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In this paper, we apply a variant of the famous Mountain Pass Lemmas of Ambrosetti-Rabinowitz ([5]) and Ambrosetti-Coti Zelati ([2]) with (CPS)c type condition of Cerami-Palais-Smale ([12]) to study the existence of new periodic solutions with a prescribed energy for N-body problems with weak force type potentials.

How to cite

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Yuan, Pengfei, and Zhang, Shiqing. "New Periodic Solutions for N-Body Problems with Weak Force Potentials." Bollettino dell'Unione Matematica Italiana 5.1 (2012): 93-112. <http://eudml.org/doc/290852>.

@article{Yuan2012,
abstract = {In this paper, we apply a variant of the famous Mountain Pass Lemmas of Ambrosetti-Rabinowitz ([5]) and Ambrosetti-Coti Zelati ([2]) with (CPS)c type condition of Cerami-Palais-Smale ([12]) to study the existence of new periodic solutions with a prescribed energy for N-body problems with weak force type potentials.},
author = {Yuan, Pengfei, Zhang, Shiqing},
journal = {Bollettino dell'Unione Matematica Italiana},
language = {eng},
month = {2},
number = {1},
pages = {93-112},
publisher = {Unione Matematica Italiana},
title = {New Periodic Solutions for N-Body Problems with Weak Force Potentials},
url = {http://eudml.org/doc/290852},
volume = {5},
year = {2012},
}

TY - JOUR
AU - Yuan, Pengfei
AU - Zhang, Shiqing
TI - New Periodic Solutions for N-Body Problems with Weak Force Potentials
JO - Bollettino dell'Unione Matematica Italiana
DA - 2012/2//
PB - Unione Matematica Italiana
VL - 5
IS - 1
SP - 93
EP - 112
AB - In this paper, we apply a variant of the famous Mountain Pass Lemmas of Ambrosetti-Rabinowitz ([5]) and Ambrosetti-Coti Zelati ([2]) with (CPS)c type condition of Cerami-Palais-Smale ([12]) to study the existence of new periodic solutions with a prescribed energy for N-body problems with weak force type potentials.
LA - eng
UR - http://eudml.org/doc/290852
ER -

References

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