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Distribuições suportadas em um hiperplano e o espaço de Hardy hp(Rn)
(Universidade Federal de São Carlos, 2015-08-26)
The main aim of this work is to study necessary and sufficient conditions for a distribution, whose compact support is contained in a hyperplane, to be in the local Hardy space hp(Rn).
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 ...
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)
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
...
Um estudo qualitativo do contraexemplo de Pinchuk
(Universidade Federal de São Carlos, 2017-02-24)
In this work we studied the topological behaviour of the level curves of the polinomial p
of Pinchuk counterexample of the Real Jacobian Conjecture, namely, a polinomial non
injective map of R^2 with the form (p,q) with ...
Identidades Polinomiais ℤ2-Graduadas para as Álgebras M1,1(E) e UT2(F) via representações de grupos
(Universidade Federal de São Carlos, 2017-09-01)
In this essay we will briefly study the concept of Algebra. We will introduce a little of Group Representation Theory, looking specifically at Young's Theory, which allows us to present explicitly the decomposition of the ...
Bifurcação e estabilidade de equilíbrios de um problema de Neumann parabólico com peso indefinido em genética populacional
(Universidade Federal de São Carlos, 2015-03-30)
This work is concerned with a semilinear parabolic partial differential equation under a homogeneous Neumann boundary condition occuring in population genetics. It describes the evolution of gene frequencies under selection ...