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Existência de soluções estacionárias estáveis para equações de reação-difusão com condição de fronteira de Neumann não-linear: condições necessárias e condições suficientes.
(Universidade Federal de São Carlos, 2004-12-15)
In this work we consider some nonlinear reaction-difusion equations with nonlinear Neumann boundary condition. The objective is to present conditions on the geometry of the domain, as well as on the reaction and diffusion ...
Pontos fixos e os contra-exemplos de Jiang
(Universidade Federal de São Carlos, 2009-02-27)
The aim of this work is construct the example, presented by Boju Jiang, of a self - map on a manifold with non - realizable Nielsen number. Firstly we will need to present the fixed point
theory and some results about ...
Existência de padrões com difusibilidade variável e condição de fronteira de Neumann não linear
(Universidade Federal de São Carlos, 2009-03-24)
In this work we study a reaction-difusion problem with nonlinear Neumann boundary condition. The objective is to present suficient conditions on the diffusion coeficient so that the problem has an stable nonconstant ...
A transformação de Darboux-Bianchi para superfícies isotérmicas em R³.
(Universidade Federal de São Carlos, 2004-04-15)
In this work we develop the transformation theory for isothermic surfaces in Euclidean space IR3 due to Darboux and Bianchi. As a consequence, we describe a method for constructing new solutions of the nonlinear
system of ...
Operadores de Calderón-Zygmund e o teorema T1
(Universidade Federal de São Carlos, 2009-04-14)
In this work, we present necessary and suficient conditions for that an operator of Calderón-Zygmund type can be extended to a bounded operator on L2. By using results of interpolation and cancellation conditions on the ...
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 ...
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 ...
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.
Preservação de mínimos locais de famílias de funcionais via gama-convergência e aplicações
(Universidade Federal de São Carlos, 2009-10-14)
Hipoeliticidade global e vetores simultaneamente aproximáveis.
(Universidade Federal de São Carlos, 2003-08-11)
A necessary and sufficient condition is given for a sum of squares operator to be globally hypoelliptic. This condition is expressed in terms of Diophatine approximation properties of the coefficients. The proof of the ...