[1]孙金丽.没有PS条件的山路引理(英文)[J].南京师大学报(自然科学版),2006,29(01):14-16.
　Sun Jinli.Mountain Pass Lemma Without the P S Condition[J].Journal of Nanjing Normal University(Natural Science Edition),2006,29(01):14-16.
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没有PS条件的山路引理(英文)()
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《南京师大学报（自然科学版）》[ISSN:1001-4616/CN:32-1239/N]

卷:
第29卷
期数:
2006年01期
页码:
14-16
栏目:
数学
出版日期:
2006-03-30

文章信息/Info

Title:
Mountain Pass Lemma Without the P S Condition
作者:
孙金丽;
南京师范大学数学与计算机科学学院 江苏南京210097
Author(s):
Sun Jinli
School of Mathematics and Computer Science,Nanjing Normal University,Nanjing 210097,China
关键词:
PS条件;  山路引理;  渐近临界点
Keywords:
P S cond it ion;  M oun tain Pass Lemm a;  asym ptotical-critical po ints
分类号:
O171
摘要:
本文研究了没有Palais-Sm ale条件的山路引理.对于不满足Palais-Sm ale条件的泛函,得到了渐近临界点的存在性,推广了古典的山路引理.本文还提供了更弱条件下的山路引理的新的证明.
Abstract:
In th is p aper, th e w ell-know nM ountain PassLemm a is cons idered w ithout the Palais- Sm ale ( P. S. ) Con d ition. It is ob ta ined that the ex isten ce of asym ptotical-critical poin ts of a functionalwh ich does not sat ify the P. S. con d ition. The m ain result generalizes th e class icalM ountain PassLemm a. Th is pap er also provid es a new proofm eth od for class icalM oun ta in Pass Lemma under weaker cond it ion s

参考文献/References:

[ 1] Ambrose ttiA, Rab inow itz P H. Dua l var ia tiona lm e thods in critical po int theo ry and app lications[ J]. J Funct Anal,1973, 14: 349- 381.
[ 2] Cho i Y S, M cKenna P J, Rom anoM. A moun tain pass m ethod fo r the nume rical so lution o f sem ilinear wave equations[ J]. Num erM ath, 1993, 64: 487- 509.
[ 3] Jabri T. TheM ounta in Pass Theorem: Var iants, Generalizations and Som eApp lications[M ] . Cam br idge: C am bridge Un iver sity Press, 2003.
[ 4] Guo D J. Non linear Functional Ana ly sis[M ] . Jinan: Shandong Sc ience and Techno logy Press, 1985.
[ 5] Q i Gu ijie. Genera lization o fMoun tain Pass Lemm a[ J]. Ch inese Science Bu lletin, 1987, 32: 798- 801.
[ 6] W illem M. M inim ax Theorem s[M ]. Ber lin: B irkh-user, 1996.

备注/Memo

备注/Memo:
Found at ion item: Supported by T ianyuan Fund for Mathematics of National Natural Science Foundation of Ch ina ( A0324615) and Science Foundation of Nan jing N orm alUn ivers ity ( 2002SXXXGQ2B20) .
B iography: Sun Jin li, fem ale, born in 1973, doctor, ma jored in non linear functional analysis. E-m ail:jin li- sun@ eyou. com
更新日期/Last Update: 2013-05-05