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Critical Groups of Pairs of Critical Points Produced by Linking Subsets

✍ Scribed by Kanishka Perera

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
357 KB
Volume
140
Category
Article
ISSN
0022-0396

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✦ Synopsis

Functions on manifolds with boundary. 4. Applications to PDEs and ODEs. 4.1. An elliptic boundary value problem with a concave nonlinearity. 4.2. Nonconstant time-periodic solutions of a system of ODEs. 4.3. An alternative for a superlinear problem.

F(u 1 ) a b F(u 2 ).

In this paper we prove a similar result for homologically linking sets via Morse theory and show, in addition, that a certain critical group of article no. DE973309

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