Existence of nontrivial solutions for semilinear problems with strictly differentiable nonlinearity

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.

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Bibliographic Details
Main Author: Sergio Lancelotti
Format: Article
Language:English
Published: Wiley 2006-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/AAA/2006/62458
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