Asymptotically quadratic functions defined on Hilbert spaces are studied by using some results of the theory of Morse-Conley index. Applications are given to existence of nontrivial weak solutions for asymptotically linear elliptic partial and ordinary differential equations at resonances.
@article{bwmeta1.element.bwnjournal-article-apmv67z1p43bwm,
author = {Michal Fe\v ckan},
title = {Nontrivial critical points of asymptotically quadratic functions at resonances},
journal = {Annales Polonici Mathematici},
volume = {66},
year = {1997},
pages = {43-57},
zbl = {0889.58023},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-apmv67z1p43bwm}
}
Michal Fečkan. Nontrivial critical points of asymptotically quadratic functions at resonances. Annales Polonici Mathematici, Tome 66 (1997) pp. 43-57. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-apmv67z1p43bwm/
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