没有ps条件的山路引理(英文)
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Keywords: ps条件,山路引理,渐近临界点
Abstract:
本文研究了没有palais-smale条件的山路引理.对于不满足palais-smale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.
References
[1] | ambrosettia,rabinowitzph.dualvariationalmethodsincriticalpointtheoryandapplications[j].jfunctanal,1973,14:349-381.
|
[2] | choiys,mckennapj,romanom.amountainpassmethodforthenumericalsolutionofsemilinearwaveequations[j].numermath,1993,64:487-509.
|
[3] | jabrit.themountainpasstheorem:variants,generalizationsandsomeapplications[m].cambridge:cambridgeuniversitypress,2003.
|
[4] | guodj.nonlinearfunctionalanalysis[m].jinan:shandongscienceandtechnologypress,1985.
|
[5] | qiguijie.generalizationofmountainpasslemma[j].chinesesciencebulletin,1987,32:798-801.
|
[6] | willemm.minimaxtheorems[m].berlin:birkh-user,1996.
|
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