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POSITIVE SOLUTIONS TO A NON-RADIAL SUPERCRITICAL KLEIN–GORDON-TYPE EQUATION

Published online by Cambridge University Press:  30 May 2006

Sebastián Lorca  and
Marcelo Montenegro
Sebastián Lorca
Affiliation:
Departamento de Matemática, Universidad de Tarapacá, Casilla 7D, Arica, Chile (slorca@uta.cl)
Marcelo Montenegro
Affiliation:
Departamento de Matemática, Universidade Estadual de Campinas, Instituto de Matemática, Estatística e Computação Científica, CP 6065, CEP 13083-970, Campinas, SP, Brazil (msm@ime.unicamp.br)
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Abstract

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We find positive solutions to a nonlinear equation of Klein–Gordon type. Our analysis is carried out by truncating the related functional and estimating mountain pass solutions by Moser’s iterative scheme.

Keywords

Primary 35B2535B3435J2035J5035J60Klein–Gordon equationsupercriticalquasilinearm-Laplacianmountain pass
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 49 , Issue 2 , June 2006 , pp. 383 - 389
Copyright
Copyright © Edinburgh Mathematical Society 2006