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Pontos fixos e os contra-exemplos de Jiang
(Universidade Federal de São Carlos, 2009-02-27)
The aim of this work is construct the example, presented by Boju Jiang, of a self - map on a manifold with non - realizable Nielsen number. Firstly we will need to present the fixed point
theory and some results about ...
Homotopias finitamente fixadas e pares de homotopias finitamente coincidentes
(Universidade Federal de São Carlos, 2011-03-02)
In the area of the theory of fixed points and coincidences of Nielsen, this study aims to develop techniques to minimize the set of fixed points in homotopies and the set of coincidences in pairs of homotopies. The techniques ...
A conjectura de Zariski para a multiplicidade
(Universidade Federal de São Carlos, 2010-06-24)
In his retiring Presidential address to the American Mathematical Society in 1971, Zariski proposed some questions in the Theory of Singularities. One of them concerns the topological invariance of the multiplicity of ...
Um homomorfismo índice associado à ações livres de grupos abelianos finitos
(Universidade Federal de São Carlos, 2011-02-25)
The main objective of this work is to generalize an article of Pedro Pergher, specifically the article A Zp - index homomorphism for Zp-spaces - Houston J. Math. - 31 - (2005) - N. 2 - 305-314 [7], replacing the cyclic ...
Propriedade de Wecken para pontos periódicos
(Universidade Federal de São Carlos, 2010-03-05)
The objective of this work is to present some procedures for orbits of periodic points class to relate the full Nielsen-Jiang periodic point of a self map of a manifold of dimension greater than three with the cardinality ...
Existência de padrões com difusibilidade variável e condição de fronteira de Neumann não linear
(Universidade Federal de São Carlos, 2009-03-24)
In this work we study a reaction-difusion problem with nonlinear Neumann boundary condition. The objective is to present suficient conditions on the diffusion coeficient so that the problem has an stable nonconstant ...
A transformação de Darboux-Bianchi para superfícies isotérmicas em R³.
(Universidade Federal de São Carlos, 2004-04-15)
In this work we develop the transformation theory for isothermic surfaces in Euclidean space IR3 due to Darboux and Bianchi. As a consequence, we describe a method for constructing new solutions of the nonlinear
system of ...
Operadores de Calderón-Zygmund e o teorema T1
(Universidade Federal de São Carlos, 2009-04-14)
In this work, we present necessary and suficient conditions for that an operator of Calderón-Zygmund type can be extended to a bounded operator on L2. By using results of interpolation and cancellation conditions on the ...
A Equação de Codazzi em superfícies
(Universidade Federal de São Carlos, 2011-03-04)
In this work, based on the article The Codazzi Equation for Surfaces by Juan A. Aledo, José M. Espinar and José A. Gálvez [8], we describe some applications of an abstract theory for the Codazzi equation on surfaces. ...
A influência da geometria do domínio sobre a existência de equilíbrios estáveis não-constantes para alguns sistemas parabólicos.
(Universidade Federal de São Carlos, 2004-04-23)
In this work we study the problem of existence of non-constant stable equilibria
to some parabolic systems. Specifically, the Ginzburg-Landau system, the
Landau-Lifshitz system and systems with skew-gradient structure. In ...