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Mountain Pass Lemma Without the P S Condition(PDF)

《南京师大学报（自然科学版）》[ISSN:1001-4616/CN:32-1239/N]

Issue:
2006年01期
Page:
14-16
Research Field:
数学
Publishing date:

Info

Title:
Mountain Pass Lemma Without the P S Condition
Author(s):
Sun Jinli
School of Mathematics and Computer Science,Nanjing Normal University,Nanjing 210097,China
Keywords:
P S cond it ion;  M oun tain Pass Lemm a;  asym ptotical-critical po ints
PACS:
O171
DOI:
-
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

References:

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[ 6] W illem M. M inim ax Theorem s[M ]. Ber lin: B irkh-user, 1996.

Memo

Memo:
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Last Update: 2013-05-05