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A Equação de Codazzi em superfícies
(Universidade Federal de São Carlos, 2011-03-04)
In this work, based on the article The Codazzi Equation for Surfaces by Juan A. Aledo, José M. Espinar and José A. Gálvez [8], we describe some applications of an abstract theory for the Codazzi equation on surfaces. ...
A influência da geometria do domínio sobre a existência de equilíbrios estáveis não-constantes para alguns sistemas parabólicos.
(Universidade Federal de São Carlos, 2004-04-23)
In this work we study the problem of existence of non-constant stable equilibria
to some parabolic systems. Specifically, the Ginzburg-Landau system, the
Landau-Lifshitz system and systems with skew-gradient structure. In ...
Índice de Yang e teoremas generalizados
(Universidade Federal de São Carlos, 2011-07-26)
We work with T-spaces (X; T), where X is a Hausdor_ compact space and T : X ! X is a continuous involution without _xed points. Considering the sphere Sn with the antipodal map, we highlight three classical theorems relating ...
Sistemas de inclusões diferenciais governadas pelo p-Laplaciano.
(Universidade Federal de São Carlos, 2004-03-01)
In this work we proof, by compactness methods, a local and global
existence result for p-laplacian diferential inclusions with p > 2. Most of relevant
theorems we need are in this text, including Monotone and Multivalued
Operators ...
Sistemas elípticos com pesos envolvendo o expoente crítico de Hardy-Sobolev
(Universidade Federal de São Carlos, 2007-11-20)
In this work, we will study the existence and nonexistence of positive weak solutions
for two classes of elliptic systems with weights. The first class will involve nonlinearities of
the type positone and semipositone. We ...
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 ...
Injetividade de aplicações polinomiais via resolubilidade de campos vetoriais
(Universidade Federal de São Carlos, 2010-08-19)
Let F : Rn → Rn be a polynomial map such that the derivative map DF(x) be invertible for each x ∈ Rn. In this work, using techniques of solvability of suitable vector fields, we investigate the role of the ...
Existência global de soluções para alguns sistemas de leis de conservação
(Universidade Federal de São Carlos, 2010-08-17)
In this work, we studied the construction of weak solutions for some systems conservation laws and for a scalar conservation laws For the p-systems relativistic we use the Wave-front tracking based on Bressan, when the ...
Resolubilidade global para operadores diferenciais parciais reais de ordem um
(Universidade Federal de São Carlos, 2006-06-30)
The present work study the global solvability of first order real linear partial diferential
operators when the principal part has precisely one equilibrium point.
Moreover, examples and counterexamples are presented.