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Uma nota sobre o teorema de Borsuk-Ulam
(Universidade Federal de São Carlos, 2011-02-25)
The main objective of this work is to prove that the map B defined on F and taking values in B, where F is the set of all continuous functions from Sn to Rn and B is the set of all nonempty closed subsets of Sn, invariant ...
Homotopias finitamente fixadas e pares de homotopias finitamente coincidentes
(Universidade Federal de São Carlos, 2011-03-02)
In the area of the theory of fixed points and coincidences of Nielsen, this study aims to develop techniques to minimize the set of fixed points in homotopies and the set of coincidences in pairs of homotopies. The techniques ...
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...)
Ações de Zr2 fixando RPj U CPk
(Universidade Federal de São Carlos, 2017-03-07)
The classification up to equivariant cobordism of smooth involutios (M, T) having fixed set F is a classical problem in cobordism theory. This classification has been studied for several cases of F, of which we highlight ...
Ações e folheações polares em variedades de Hadamard
(Universidade Federal de São Carlos, 2014-02-27)
This work aims at presenting some recent results on the theory of polar foliations, also know as singular riemannian foliations with sections, on nonpositively curved manifolds, as seen in T oben [24]. Polar actions are ...
Teorema de holonomia normal
(Universidade Federal de São Carlos, 2013-08-30)
In this work we will introduce the concept of normal holonomy and restricted normal holonomy of a riemannian submanifold. They are subgroups of the orthogonal matrices that are realized from parallel translating normal ...
Equações elípticas singulares envolvendo o expoente crítico de Caffarelli-Kohn-Nirenberg e funções peso mudando de sinal
(Universidade Federal de São Carlos, 2012-02-15)
In this work we will study the existence of nonnegative nontrivial
weak solutions to singular elliptic equations involving the critical Caffarelli-Kohn-
Nirenberg exponent and sign-changing functions. For this purpose, ...
Limites singulares para equações do tipo Rosenau-KdV-RLW e Benney-Lin : existência e convergência de soluções
(Universidade Federal de São Carlos, 2017-09-01)
We consider the approximations
@tu + @xf(u) + b1@3xu + b2@t@2xu + 2c@t@4 xu = @2xu (4)
and
@tu + @xf(u) + @2xu + 2b@3 xu + 3c@4xu + 5d@5xu = @2xu (5)
of the Rosenau-KdV-RLW and Benney-Lin equations and ...
Aspectos homológicos e homotópicos do teorema de Borsuk-Ulam
(Universidade Federal de São Carlos, 2011-02-20)
The objetive of this work is to generalize the classic Borsuk-Ulam's Theorem.
We studied there generalizations with respect to any comapact and Hausdor T-
space. We used in the proofs the Z2-index of Yang and the B-index. ...
Involuções fixando FnUF3
(Universidade Federal de São Carlos, 2010-12-15)
Let Mm a closed and smooth m-dimensional manifold and T : Mm - Mm a smooth involution defined on Mm. It is well known that the fixed point set F of T is a finite and disjoint union of closed submanifolds, with possibly ...