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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 ...
Existência de variedade invariante e atrator para a equação ut = uxx + f(u)
(Universidade Federal de São Carlos, 2007-03-26)
In this work we study the differential equation
ut = uxx+ f (u); 0 6 x 6 1; t > 0
with homogeneous Dirichlet boundary conditions and f 2C1(R;R) lipschitz and bounded globally
and satisfying the following conditions:
...
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...)
Extensões de distribuições quase-homogêneas
(Universidade Federal de São Carlos, 2007-02-02)
In this dissertation the author proves two results of extensions for IRn of distribution solutions in IRn{0} of the operator Lλ,a = n ∑ i=1 λixi@xi − a, with λ = (λ1, . . . , λn) E Rn ...
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 ...
Soluções ondas viajantes da equação Korteweg-de Vries-Burgers
(Universidade Federal de São Carlos, 2006-12-05)
The aim in this work is to estudy the existence and certain qualitative properties of travellingwave
to the Korteweg-de Vries-Burgers (KdVB) equation. The asymptotic behaviour of these
waves is analysed when ε ↓ ...
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 ...