Morse theory applied to semilinear problems

Author: Perera Kanishka  

Publisher: Taylor & Francis Ltd

ISSN: 1747-6933

Source: Complex Variables and Elliptic Equations, Vol.57, Iss.11, 2012-11, pp. : 1179-1189

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Abstract

We use Morse theoretic arguments to obtain nontrivial solutions of semilinear elliptic boundary value problems where the nonlinearity interacts with the spectrum, without assuming that the asymptotic limits at zero and infinity exist.