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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 ...
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, ...
Os sistemas completos de desigualdades propostos por Santaló
(Universidade Federal de São Carlos, 2007-03-20)
In 1961, Santaló[21] suggested that, considering the family of the convex bodies in
R2, it was found a complete system of inequalities for each pair and each triple of the
functions area, perimeter, diameter, inradius, ...
Analiticidade e suavidade micro-local para soluções de equações diferenciais parciais não lineares de primeira ordem
(Universidade Federal de São Carlos, 2012-04-02)
This work intends to study the analytic wave front set and theC8wave front set ofupx,0q, assu-ming that the partial differential equationsut fpx,t,u,uxqpresents a solutionu upx,tqPCk
O conceito de n-varifold e EDP
(Universidade Federal de São Carlos, 2006-03-03)
The goal of this work is the detailed study of some topics of Geometric Measure Theory, giving special attention to the n-varifold concept and illustrating its use in the asymptotic behavior of critical points of the energy ...
Recobrimentos ramificados entre superfícies e dessins d'enfants
(Universidade Federal de São Carlos, 2012-03-19)
Given closed connected surfaces X and Y, integers n > 0 and d > 2, and for i = 1,..., n partitions (dy)j=i,...,mi of d. The 5-tuple (X, Y, n, d, (dij)) is called the branch datum of a candidate branched covering. Many works ...
Caracterizações da compactificação de Poincaré de campos polinomiais do plano
(Universidade Federal de São Carlos, 2007-09-25)
In this work, we describe the Poincaré Compactification of polinomial vector fields and present two characterization of it.
Vetores Gevrey em estruturas localmente integráveis do tipo tubo
(Universidade Federal de São Carlos, 2014-03-14)
Estimativas de magnitudes da dinâmica quântica envolvendo dimensões de Hausdorff e de empacotamento
(Universidade Federal de São Carlos, 2014-03-21)
In this work we approach the nonrelativistic quantum mechanics from the point of view of mathematical physics; we present estimates of some dynamical quantities that are used to describe the return probability to the initial ...
Aplicações singulares via grupos de reflexões
(Universidade Federal de São Carlos, 2020-04-24)
Our objective with this essay is to describe a way to build germs of applications A-finite f:(\C^{n},0) \rightarrow (\C^{p},0) for p=2n and p=2n-1. In the case p<2n-1, we conclude that there is no germ of reflection ...