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Uma caracterização homotópica do espaço de laços da suspensão de um espaço topológico
(Universidade Federal de São Carlos, 2011-03-06)
Our main goal in this dissertation is to show that the loopspace of reduced suspension of a connected CW complex X has the same type of homotopy that the free topological monoid generated by X.
Resultados de existência para as equações críticas de Klein-Gordon-Maxwell
(Universidade Federal de São Carlos, 2011-02-10)
In this work we analyze the existence of radially symmetric solutions, positive solutions as well as the existence of ground state solutions for a class of Klein-Gordon-Maxwell equations when the nonlinearity exhibits ...
Estimativas locais para complexos elíticos
(Universidade Federal de São Carlos, 2011-06-16)
In this work, we extend some global L1 estimates proved by Bourgain-Brezis in the case of the de Rham complex on RN to the setup of local L1 estimates for elliptic complexes, namely, those associated to involutive elliptic ...
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 ...
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 ...
O número de Milnor de uma singularidade isolada
(Universidade Federal de São Carlos, 2011-11-24)
Given (X; 0) C (CN; 0) a weighted homogeneous germ of hypersurface with isolated singularity and f : (CN; 0) - C a germ of function finitely determined with respect to X, we show that UBR(f;X) = U(f) + U(X; f), where U(f) ...
Atrator no sentido pullback e trajetórias completas extremas para problemas governados pelo p-Laplaciano
(Universidade Federal de São Carlos, 2011-03-25)
We study non-autonomous problems with the main part given by the p- Laplacian and establish existence results of pullback attractor, comparison of solutions and existence of a maximal and a minimal complete trajectories. ...
O problema de Cauchy para a equação da onda cúbica
(Universidade Federal de São Carlos, 2011-05-27)
In this work, we study the result of global well-Posedness for the cubic wave equation @2 t u��_u+u3 = 0 in R_R3, where the Cauchy data is in the Sobolev space Hs(R3)_ Hs��1(R3) with 13 18 < s ...
Um homomorfismo índice associado à ações livres de grupos abelianos finitos
(Universidade Federal de São Carlos, 2011-02-25)
The main objective of this work is to generalize an article of Pedro Pergher, specifically the article A Zp - index homomorphism for Zp-spaces - Houston J. Math. - 31 - (2005) - N. 2 - 305-314 [7], replacing the cyclic ...
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. ...