Existência e multiplicidade de soluções de problemas de contorno elípticos de quarta ordem via métodos topológicos

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Dettagli Bibliografici
Autore principale:	SILVA, Kaye Oliveira da
Data di pubblicazione:	2012
Natura:	Master thesis
Lingua:	por
Fonte:	Repositório Institucional da UFG
Download full:	http://repositorio.bc.ufg.br/tede/handle/tde/1951
Riassunto:	In this work, we employ topological methods in order to study existence and multiplicity of solutions, of nonlinear boundary value problems of the fourth order. More precisely, we make use of results on connected components of fixed points, as well as global bifurcation, to show existence and multiplicity of weak solutions of Partial Differential Equations, involving the Biharmonic operator under Navier boundary conditions. Proofs of the abstract results used, are presented in detail.

Descrizione
Riassunto:	In this work, we employ topological methods in order to study existence and multiplicity of solutions, of nonlinear boundary value problems of the fourth order. More precisely, we make use of results on connected components of fixed points, as well as global bifurcation, to show existence and multiplicity of weak solutions of Partial Differential Equations, involving the Biharmonic operator under Navier boundary conditions. Proofs of the abstract results used, are presented in detail.

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