Abstract and Applied Analysis
Volume 2006 (2006), Article ID 62458, 14 pages

Existence of nontrivial solutions for semilinear problems with strictly differentiable nonlinearity

Sergio Lancelotti

Dipartimento di Matematica, Politecnico di Torino, Corso Duca degli Abruzzi 24, Torino I 10129, Italy

Received 8 March 2005; Accepted 13 July 2005

Copyright © 2006 Sergio Lancelotti. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The existence of a nontrivial solution for semilinear elliptic problems with strictly differentiable nonlinearity is proved. A result of homological linking under nonstandard geometrical assumption is also shown. Techniques of Morse theory are employed.