Existência e multiplicidade de soluções de problemas de contorno elípticos de quarta ordem via métodos topológicos
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Data
2012-02-24
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Universidade Federal de Goiás
Resumo
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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Citação
SILVA, Kaye Oliveira da. Existence and multiplicity of solutions to elliptic boundary value problems by topological methods. 2012. 116 f. Dissertação (Mestrado em Ciências Exatas e da Terra) - Universidade Federal de Goiás, Goiânia, 2012.