Critical points of asymptotically quadratic functions

Michal Fečkan

Annales Polonici Mathematici (1995)

  • Volume: 61, Issue: 1, page 63-76
  • ISSN: 0066-2216

Abstract

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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.

How to cite

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Michal Fečkan. "Critical points of asymptotically quadratic functions." Annales Polonici Mathematici 61.1 (1995): 63-76. <http://eudml.org/doc/262258>.

@article{MichalFečkan1995,
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.},
author = {Michal Fečkan},
journal = {Annales Polonici Mathematici},
keywords = {critical points; Morse-Conley index; pseudomonotone mappings; pseudo-monotone mappings},
language = {eng},
number = {1},
pages = {63-76},
title = {Critical points of asymptotically quadratic functions},
url = {http://eudml.org/doc/262258},
volume = {61},
year = {1995},
}

TY - JOUR
AU - Michal Fečkan
TI - Critical points of asymptotically quadratic functions
JO - Annales Polonici Mathematici
PY - 1995
VL - 61
IS - 1
SP - 63
EP - 76
AB - 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.
LA - eng
KW - critical points; Morse-Conley index; pseudomonotone mappings; pseudo-monotone mappings
UR - http://eudml.org/doc/262258
ER -

References

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  1. [1] V. Benci, Some applications of the generalized Morse-Conley index, Confer. Semin. Mat. Univ. Bari 218 (1987). Zbl0656.58006
  2. [2] J. Berkovits and V. Mustonen, On topological degree for mappings of monotone type, Nonlinear Anal. 10 (1986), 1373-1383. Zbl0605.47060
  3. [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. Zbl0724.47024
  4. [4] S. Li and J. Q. Liu, Morse theory and asymptotic linear Hamiltonian system, J. Differential Equations 78 (1989), 53-73. Zbl0672.34037
  5. [5] J. Mawhin and M. Willem, Critical Point Theory and Hamiltonian Systems, Springer, New York, 1989. Zbl0676.58017
  6. [6] J. Nečas, Introduction to the Theory of Nonlinear Elliptic Equations, Teubner, Leipzig, 1983. 
  7. [7] B. Przeradzki, An abstract version of the resonance theorem, Ann. Polon. Math. 53 (1991), 35-43. Zbl0746.47043

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