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Existência e semicontinuidade de atratores global, pullback e de trajetórias
(Universidade Federal de São Carlos, 2016-07-27)
The mainly purpose of this paper is to study the asymptotic behaviour of abstract evolution equations.
The first part of this work is dedicated to the attraction theory for univoque autonomous and nonautonomous
problems ...
Resolubilidade contínua e singularidades removíveis para a equação divergente
(Universidade Federal de São Carlos, 2019-08-12)
In this text we study some results obtained by Nguyen Cong Phuc and Monica Torres in the paper "Characterizations of the Existence and Removable Singularities of Divergence-measure Vector Fields" regarding the characterisation ...
Existence and multiplicity of solutions for problems involving the Dirac operator
(Universidade Federal de São Carlos, 2019-07-30)
In this thesis, we study equations that involving the Dirac operator and which have the form
$-i \alpha \cdot \nabla u + a \beta u + M(x)u = F_{u}(x,u), em \mathbb{R}^{3},$
where $\alpha = (\alpha_1, \alpha_2, \alpha_3),$ ...
$L^2$ estimates for the operators $ \bar\partial $ and $ \bar\partial_b $
(Universidade Federal de São Carlos, 2019-08-02)
The purpose of this work is to establish sufficient conditions for closed range estimates on $(0,q)$-forms, for some fixed $q$, $1 \leq q \leq n-1$, for $\bar\partial_b$ in both $L^2$ and $L^2$-Sobolev spaces in embedded, ...
Existência e multiplicidade de soluções para uma classe de problemas envolvendo operadores fracionários
(Universidade Federal de São Carlos, 2019-08-14)
In this work, we study existence and multiplicity of weak solutions for three problems involving fractional operators, with emphasis on critical growth nonlinearities. The first problem deals with the existence of sign-changing ...
Superfícies mínimas e a teoria min-max de Almgren--Pitts
(Universidade Federal de São Carlos, 2019-08-07)
First, we introduce the basic concept of minimal surfaces and develop some results in the general theory of minimal surfaces.
In the second part, we are interested in the Simon-Smith Min-Max approach to prove the existence ...
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...)
D-classes de homotopia, uma generalização da teoria de ∆-classes de homotopia
(Universidade Federal de São Carlos, 2011-03-04)
This work is based on Ph.d. thesis of R.Brooks [1]. R.Brooks develops his work in three parts, first establishes Nielsen s theory (Essential class, Nielsen s number, estimates for the Nielsen s number) for determined classes ...
Confinamento de partículas quânticas a curvas do espaço
(Universidade Federal de São Carlos, 2010-05-24)
In this work we study dimensional reductions in some quantum systems; such reductions occur due to confinement of the particle from a tube in space to a curve. Our main goal is to find the effective hamiltonian operator ...
Micro-regularidade Gevrey de soluções de sistemas involutivos de edp's não lineares de primeira ordem
(Universidade Federal de São Carlos, 2010-03-05)
Let u be a C2 solution for a Gevrey involutive system of _rst order nonlinear partial di_erential equations. In this work, we show that the Gevrey wave front set of order s of u is contained in the characteristic set of ...