Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/68750
Type: Artigo de periódico
Title: ON THE PERIODIC FUCIK SPECTRUM AND A SUPERLINEAR STURM-LIOUVILLE EQUATION
Author: FIGUEIREDO, DG
RUF, B
Abstract: In the first part of the paper a variational characterisation of the periodic eigenvalues (the so-called Fucik spectrum) of a semilinear, positive homogeneous Sturm-Liouville equation is given. The proof relies on the S1-invariance of the equation. In the second part a nonlinear Sturm-Liouville equation with, typically, an exponential nonlinearity is considered. It is proved that under certain conditions this equation is solvable for arbitrary forcing terms. The proof uses a comparison of the minimax levels of the functional associated to this equation with suitable values in the Fucik spectrum.
Country: Escócia
Editor: Royal Soc Edinburgh
Rights: embargo
Date Issue: 1993
Appears in Collections:Artigos e Materiais de Revistas Científicas - Unicamp

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