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Representação de soluções homogêneas contínuas de campos vetoriais no plano
(Universidade Federal de São Carlos, 2015-06-11)
In this work we study conditions for the validity of the analogue of Mergelyan’s
theorem for continuous solutions of a type of locally integrable vector field.
On a domain in the plane, we consider a vector field L that ...
Problemas elípticos superlineares com não linearidades assimétricas
(Universidade Federal de São Carlos, 2015-03-06)
The aim of this work is to present results of existence of solutions for a class of nonlinear asymmetryc elliptic problems. The asymmetry that we consider here has linear behavior on - infnity and superlinear on + infnity. ...
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 ...
Tópicos sobre funções de várias variáveis complexas
(Universidade Federal de São Carlos, 2015-03-27)
This work shows classical results of analysis of holomorphic functions of both one and several complex variables. Are treated as main topics results on integral representations of holomorphic functions, approximation by ...
Operadores lineares em espaços de Hardy
(Universidade Federal de São Carlos, 2015-03-13)
The present work aims to present an example of linear a functional defined on a dense subspace of the Hardy space H1(Rn) to be built, with the intention of showing that despite the fact that this functional is uniformly ...
Problemas elípticos superlineares com ressonância
(Universidade Federal de São Carlos, 2015-08-14)
The aim of this work is to present results about the existence of non-trivial solutions for some classes of resonant and superlinear eliptic systems employing topological methods. More specifcally, we use a-priori bounds ...
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 ...
Classificação das hipersuperfícies paralelas e semi-paralelas em S^nxR
(Universidade Federal de São Carlos, 2015-03-30)
The aim of this Masters dissertation is to show a classication of parallel and semi-parallel hypersurfaces of Sn _ R, based on the work of Joeri Van der Veken and Luc Vrancken, in [12].
The classification that we will ...
Estudo de nova fórmula de caracteres para representações de Álgebra de Lie semissimples
(Universidade Federal de São Carlos, 2015-08-28)
The objective of this dissertation is descrive formally the irreducible representations of finitedimensional semisimple Lie algebras g over a field F algebraically closed with characteristic zero, as also get some multiplicity ...
O produto tensorial não abeliano de grupos e aplicações
(Universidade Federal de São Carlos, 2015-04-22)
The nonabelian tensor square GG of a group G was introduced by R. K.
Dennis [8] in a search for new homology functors having a close relationship to
K-theory and it is based on the work of C. Miller [14]. Subsequently ...