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O PRIMEIRO AUTOVALOR DO p-LAPLACIANO EM VARIEDADES

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dc.contributor.author SILVA, Antonio Kelson Vieira da
dc.date.accessioned 2014-12-17T16:34:07Z
dc.date.available 2014-12-17T16:34:07Z
dc.date.issued 2014-12-17
dc.identifier.uri http://hdl.handle.net/123456789/13
dc.description.abstract RESUMO: Nesta dissertação, são estudadas estimativas para o primeiro autovalor de operador p-Laplaciano em variedades Riemannianas suaves, completas e sem bordo. Tais resultados são extensões de resultados clássicos obtidos por Cheng, Faber-Krahn, Lichnerowicz- Obata, Cheeger e Buser para o operador Laplace-Beltrami. O trabalho aqui desenvolvido baseia-se no artigo "First eigenvalue for the p-Laplace operator " de Ana-Maria Matei (Nonlinear Analysis, vol.39 (2000), p. 1051-1068). ABSTRACT: In this dissertation, estimates are studied for the rst eigenvalue of the operator p- Laplacian on complete smooth Riemannian manifolds, without boundary. These results are extensions of classical results obtained by Cheng, Faber-Krahn, Lichnerowicz-Obata, Cheeger and Buser for the Laplace-Beltrami operator. The analysis presented here is based on the article "First eigenvalue for the p-Laplace operator " Ana-Maria Matei (Nonlinear Analysis, vol.39 (2000), p. 1051-1068). pt_BR
dc.language.iso other pt_BR
dc.subject Geometria diferencial pt_BR
dc.subject p-Laplaciano pt_BR
dc.subject Primeiro autovalor - Matemática pt_BR
dc.subject Differential geometry pt_BR
dc.subject First eigenvalue - Mathematics pt_BR
dc.title O PRIMEIRO AUTOVALOR DO p-LAPLACIANO EM VARIEDADES pt_BR
dc.type Preprint pt_BR


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