caa a22 4500 477091636 CHVBK 20180405111516.0 cr unu---uuuuu 170330e19960601xx s 000 0 eng 10.1007/BF01195917 doi (NATIONALLICENCE)springer-10.1007/BF01195917 de Barros e Silva E. Departamento de Matemática.-IMECC, Universidade Estadual de Campinas, CP 6065, 13081-970, Campinas, SP, Brazil aut Critical point theorems and applications to a semilinear elliptic problem [Elektronische Daten] [E. de Barros e Silva] The objective of this article is to establish the existence of critical points for functionals of classC 2defined on real Hilbert spaces. The argument is based on the infinite dimensional Morse theory introduced by Gromoll-Meyer [13]. The abstract results are applied to study the existence of nonzero solutions for a class of semilinear elliptic problems where the nonlinearity possesses a superlinear growth on a direction of the real line. Birkhäuser Verlag, 1996 Nonlinear Differential Equations and Applications NoDEA Birkhäuser-Verlag 3/2(1996-06-01), 245-260 1021-9722 3:2<245 1996 3 30 https://doi.org/10.1007/BF01195917 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF01195917 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- de Barros e Silva E. Departamento de Matemática.-IMECC, Universidade Estadual de Campinas, CP 6065, 13081-970, Campinas, SP, Brazil aut NATIONALLICENCE 773 0- Nonlinear Differential Equations and Applications NoDEA Birkhäuser-Verlag 3/2(1996-06-01), 245-260 1021-9722 3:2<245 1996 3 30 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer