Critical points of asymptotically quadratic functions

• Autorzy: Michal Fečkan
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

critical points; Morse-Conley index; pseudomonotone mappings

Kategorie tematyczne

• 58E05: Abstract critical point theory (Morse theory, Ljusternik-Schnirelman (Lyusternik-Shnirel\cprime man) theory, etc.)
• 58E99: None of the above, but in this section

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 1995
• Tom: 61
• Numer: 1
• Strony: 63-76

Daty

wydano

1995

otrzymano

1993-11-10

poprawiono

1994-03-25

poprawiono

1994-07-18

Twórcy

autor

Michal Fečkan

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

Bibliografia

• [1] V. Benci, Some applications of the generalized Morse-Conley index, Confer. Semin. Mat. Univ. Bari 218 (1987).
• [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.