Open AccessExistence of nontrivial solutions for semilinear problems with strictly differentiable nonlinearity
Author(s) -
Sergio Lancelotti
Publication year - 2006
Publication title -
abstract and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.228
H-Index - 56
eISSN - 1687-0409
pISSN - 1085-3375
DOI - 10.1155/aaa/2006/62458
Subject(s) - mathematics , differentiable function , nonlinear system , morse theory , morse code , pure mathematics , mathematical analysis , physics , quantum mechanics , electrical engineering , engineering
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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