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Folheações riemannianas e geodésicas fechadas em orbifolds
(Universidade Federal de São Carlos, 2016-03-04)
The present thesis is devoted to the study of closed geodesics in some types of orbifolds. First, we present the notion of Riemannian foliation and their equivalent definitions using foliation atlas and Riemannian submersions. ...
Teoria do grau topológico e sua aplicação em um problema elíptico ressonante superlinear
(Universidade Federal de São Carlos, 2015-08-13)
In this work, we will show an important tool of nonlinear analysis, which has great
applicability in partial differential equations: the topological degree theory. We will
construct the topological degree in finite and ...
Estimativas a priori para problemas elípticos via desigualdade de Hardy-Sobolev
(Universidade Federal de São Carlos, 2014-02-28)
In this thesis we study a priori bounds for positive solutions of a class of nonlinear elliptic equations. More precisely, we establish a priori bounds for positive solutions of the problem (continue...)
Teoria de Littlewood-Paley e o problema de Cauchy para a equação da onda cúbica
(Universidade Federal de São Carlos, 2010-07-08)
In this work, we study the result of well-posedness for the cubic wave equation
u + u3 = 0 in R3, due to H. Bahouri e J.-Y. Chemin, where the Cauchy data is in
the Homogeneous Sobolev space ̇H3/4(R3) × ̇H−1/4(R3). The ...
Teoria de invariantes de formas binárias
(Universidade Federal de São Carlos, 2010-03-26)
In this work, we studied article [6], that answers the following questions:how are all covariants of binary forms? What are and how to find the canonicalforms of the binary forms of degree n? Is there a finite generating ...
Transformada de Tjurina para singularidades determinantais
(Universidade Federal de São Carlos, 2017-07-19)
We study the Tjurina transforms of determinantal singularities and its properties.
Classificação das hipersuperfícies lorentzianas de R1n para Rn1+1
(Universidade Federal de São Carlos, 2015-12-16)
In this dissertation we present a result of classi cation of isometric hypersurfaces between Lorentz-Minkowski spaces due to L. K. Graves [5], which generalizes a classic theorem of Hartman and Nirenberg [7], where ...
Atratores de trajetórias para equações de evolução abstratas e aplicação a uma equação de reação difusão
(Universidade Federal de São Carlos, 2017-03-20)
The purpose of this work is to study the asymptotic behaviour of abstract autonomous evolution
equations. The first part is dedicated to the theory of existence of global attractors for univoque
autonomous problems and ...
Ações e folheações polares em variedades de Hadamard
(Universidade Federal de São Carlos, 2014-02-27)
This work aims at presenting some recent results on the theory of polar foliations, also know as singular riemannian foliations with sections, on nonpositively curved manifolds, as seen in T oben [24]. Polar actions are ...
Teorema de holonomia normal
(Universidade Federal de São Carlos, 2013-08-30)
In this work we will introduce the concept of normal holonomy and restricted normal holonomy of a riemannian submanifold. They are subgroups of the orthogonal matrices that are realized from parallel translating normal ...