ArticleOriginal scientific text

Title

Critical points of asymptotically quadratic functions

Authors 1

Affiliations

  1. Mathematical Institute, Slovak Academy of Sciences, Štefánikova 49, 814 73 Bratislava, Slovakia

Abstract

Existence results for critical points of asymptotically quadratic functions defined on Hilbert spaces are studied by using Morse-Conley index and pseudomonotone mappings. Applications to differential equations are given.

Keywords

critical points, Morse-Conley index, pseudomonotone mappings

Bibliography

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  2. J. Berkovits and V. Mustonen, On topological degree for mappings of monotone type, Nonlinear Anal. 10 (1986), 1373-1383.
  3. J. Berkovits and V. Mustonen, An extension of Leray-Schauder degree and applications to nonlinear wave equations, Differential Integral Equations 3 (1990), 945-963.
  4. S. Li and J. Q. Liu, Morse theory and asymptotic linear Hamiltonian system, J. Differential Equations 78 (1989), 53-73.
  5. J. Mawhin and M. Willem, Critical Point Theory and Hamiltonian Systems, Springer, New York, 1989.
  6. J. Nečas, Introduction to the Theory of Nonlinear Elliptic Equations, Teubner, Leipzig, 1983.
  7. B. Przeradzki, An abstract version of the resonance theorem, Ann. Polon. Math. 53 (1991), 35-43.
Pages:
63-76
Main language of publication
English
Received
1993-11-10
Accepted
1994-03-25
Published
1995
Exact and natural sciences