Abstract and Applied Analysis
Volume 2006 (2006), Article ID 62458, 14 pages
Existence of nontrivial solutions for semilinear problems with strictly differentiable nonlinearity
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.