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Critical Groups in Saddle Point Theorems without a Finite Dimensional Closed Loop
Author(s) -
Perera Kanishka,
Schechter Martin
Publication year - 2002
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/1522-2616(200209)243:1<156::aid-mana156>3.0.co;2-k
Subject(s) - mathematics , saddle , saddle point , critical point (mathematics) , loop (graph theory) , mathematical analysis , boundary (topology) , pure mathematics , geometry , combinatorics , mathematical optimization
We obtain critical points with nontrivial critical groups in certain saddle point type theorems where there is no finite dimensional closed loop. An application to a semilinear elliptic boundary value problem with concave and jumping nonlinearities is given.