Nontrivial critical points of asymptotically quadratic functions at resonances
Volume 67 / 1997
Annales Polonici Mathematici 67 (1997), 43-57
DOI: 10.4064/ap-67-1-43-57
Abstract
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.
