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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 ...
Identidades e polinômios centrais com involução para a álgebra das matrizes triangulares superiores 2x2
(Universidade Federal de São Carlos, 2018-08-16)
Let F be a field of characteristic diferent from 2. Denote by UT2(F) the 2x2 upper triangular matrix F-algebra. If * is a involution of first kind of UT2(F), denote by Id(UT2(F); * and
C(UT2(F); *) the set of its ...
Equações elípticas singulares envolvendo o expoente crítico de Caffarelli-Kohn-Nirenberg e funções peso mudando de sinal
(Universidade Federal de São Carlos, 2012-02-15)
In this work we will study the existence of nonnegative nontrivial
weak solutions to singular elliptic equations involving the critical Caffarelli-Kohn-
Nirenberg exponent and sign-changing functions. For this purpose, ...
Identidades polinomiais via identidades de grupo : a conjectura de Brian Hartley
(Universidade Federal de São Carlos, 2017-02-16)
In this work, we present the Conjecture of Brian Hartley and study its validity, i.e, we verify
if group identities in the unity group U(FG) make FG satisfy a polynomial identity, where G
is a torsion group and F any ...
Determinante regularizado do Laplaciano e conjuntos isoespectrais em superfícies
(Universidade Federal de São Carlos, 2019-02-27)
On compact surfaces with boundary, with some conditions in a conformal class, we study the problem about to find a metric with constant Gaussian curvature with boundary of constant geodesic curvature for which the regularized ...
Solução do problema da conjugação para algumas extensões de grupos
(Universidade Federal de São Carlos, 2017-02-23)
This essay is a detailed introductory study of Combinatorial Group Theory and one of its three classical problems: the Conjugacy Problem. We studied its solution for several classes of group extensions, obtained in [1] and ...
Imersões de variedades de Dold e de Wall em espaços euclidianos
(Universidade Federal de São Carlos, 2017-03-10)
Invariantes de germes de aplicações
(Universidade Federal de São Carlos, 2017-04-19)
In this work, we show relations between invariants of map germs. First, we consider an analytic function germ f : (X, 0) —(C, 0) on an isolated determinantal singularity and we present a relation between the Euler obstruction ...
A mean-field game model of economic growth : an essay in regularity theory
(Universidade Federal de São Carlos, 2016-12-20)
In this thesis, we present a priori estimates for solutions of a mean-field game (MFG) defined
over a bounded domain Ω ⊂ ℝd. We propose an application of these results to a model of capital
and wealth accumulation.
In ...
Conjunto frente de ondas em classe de funções ultradiferenciáveis de soluções de equações diferenciais parciais lineares
(Universidade Federal de São Carlos, 2016-03-04)
In this work, we introduce the wave front set WF,(u) of a classical distribution with respect to the ultradifferentiable classes of Beurling and Eomieu type. Our main goal is to present a detailed proof of the inclusion
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