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Classificação das hipersuperfícies paralelas e semi-paralelas em S^nxR
(Universidade Federal de São Carlos, 2015-03-30)
The aim of this Masters dissertation is to show a classication of parallel and semi-parallel hypersurfaces of Sn _ R, based on the work of Joeri Van der Veken and Luc Vrancken, in [12].
The classification that we will ...
Subordinação fractal para operadores de Schrödinger unidimensionais
(Universidade Federal de São Carlos, 2016-02-16)
We study fractal subordinacy theory for one-dimensional Schrödinger operators. First,
we review results on Hausdorff subordinacy for discrete one-dimensional Schrödinger operators in order to analyze the differences and ...
Generalizações do truque de Kotani
(Universidade Federal de São Carlos, 2016-02-17)
We present a study of rank-one perturbations of self-adjoint and unitary operators, in particular related to the so-called Kotani’s trick. In Chapter 2 we recall relevant definitions and elementary facts. In Chapter 3 we ...
Identidades polinomiais Zn-graduadas da álgebra Mn(F)
(Universidade Federal de São Carlos, 2016-02-22)
In this works we will study G-graded algebras and G-graded polynomial identities, where G is an additive group. For main result we will describe a finite basis for Zn-graded polynomial identities of the matrix algebra of ...
Hipoelipticidade, resolubilidade e formas normais para campos vetoriais no toro
(Universidade Federal de São Carlos, 2015-04-24)
The main aim of this work is to study a class of real vector elds de ned on a torus, where the concepts of global hypoellipticity, global C1 solvability and reduction to its normal form are equivalents. We also study a ...
Existence and multiplicity of solutions to a class of elliptic problems involving operators with variable exponent
(Universidade Federal de São Carlos, 2016-12-05)
We study the existence and multiplicity of nontrivial solutions for two classes of elliptic problems. The first problem covers a general class of operators with variables exponents where the nonlinearitv has subcritical ...
Existência de atrator para problemas com operadores monótonos e dominados pelo p-Laplaciano com difusão
(Universidade Federal de São Carlos, 2016-03-31)
This work is about the upper semicontinuity of the family of global attractors associated to nonlinear reaction diffusion equations whose principal part is determined by maximal operator monotonous governed by degenerate ...
Resultados do tipo Ambrosetti-Prodi para problemas quasilineares
(Universidade Federal de São Carlos, 2015-12-04)
We present results of Ambrosseti-Prodi type to quasilinear problems involving the p-Laplace operator. We consider the scalar case and a a problem with systems of equations. In the scalar case, we work with the conditions ...
Semigrupos gerados pelo p-Laplaciano e um estudo do limite p→∞
(Universidade Federal de São Carlos, 2012-05-02)
We study the problem: (2) _∂tup − Δpup = 0, (0,∞) × Rd up(0, x) = g(x), {t = 0} × Rd ∞ > p ≥ d+1, where the initial data up(0, x) = g(x) are Lipschitz continuous, non-negative and it have ...
Problemas de autovalores de Steklov-Neumann e aplicações
(Universidade Federal de São Carlos, 2012-03-26)
In this work we will obtain four main results of existence of weak solution, three of them to elliptic partial di_erential systems with nonlinear boundary conditions and the other to elliptic partial di_erential equations ...