Geodesic
Nontrivial critical points of asymptotically quadratic functions at resonances
Annales Polonici Mathematici, Tome 67 (1997) no. 1, pp. 43-57

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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.
DOI : 10.4064/ap-67-1-43-57
Keywords: weak solutions, boundary value problems, Morse-Conley index 
Michal Fečkan. Nontrivial critical points of asymptotically quadratic functions at resonances. Annales Polonici Mathematici, Tome 67 (1997) no. 1, pp. 43-57. doi: 10.4064/ap-67-1-43-57
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