Abstract and Applied Analysis
Volume 2006 (2006), Article ID 62458, 14 pages
doi:10.1155/AAA/2006/62458
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
Abstract
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.