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Doutorado em Matemática - PAPGM - UFPB-JP - UFCG
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(BrasilCentro de Ciências e Tecnologia - CCTPÓS-GRADUAÇÃO EM MATEMÁTICAUFCGUniversidade Federal de Campina Grande, 2022-06-21)In the first part of this these we study the geometry of immersions of the spacelike hypersurfaces in constant sectional curvature space, more specifically into the Steady State Space Hn+1 1 and Anti-De Sitter space ...
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(BrasilCentro de Humanidades - CHPÓS-GRADUAÇÃO EM MATEMÁTICAUFCGUniversidade Federal de Campina Grande, 2023-11-21)The present work is built in two main directions: first, new abstract theorems are developed for a class of semi-functional functionals continuous inferiorly as follows: given X a Banach space, I = Φ + Ψ : 1 with a ...
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(BrasilCentro de Ciências e Tecnologia - CCTPÓS-GRADUAÇÃO EM MATEMÁTICAUFCGUniversidade Federal de Campina Grande, 2023-07-25)This thesis presents the study of hypersurfaces immersed in Lorentzian and warped Riemannian products ambient. In the first part, we analyze hypersurfaces that satisfy conditions on the mean curvature, obtaining rigidity ...
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(BrasilCentro de Ciências e Tecnologia - CCTPÓS-GRADUAÇÃO EM MATEMÁTICAUFCGUniversidade Federal de Campina Grande, 2019-03)In this work, we will study two integral equations involving a non-local dispersion operator that arises from the study of reaction-diffusion equations. We will use Nonlinear Functional Analysis methods to determine solutions ...
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(BrasilCentro de Ciências e Tecnologia - CCTPÓS-GRADUAÇÃO EM MATEMÁTICAUFCGUniversidade Federal de Campina Grande, 2019-02-04)In this thesis, we prove the Hörmander’s theorem for a stochastic evolution equation driven by a trace-class fractional Brownian motion with Hurst exponent 1 2 < H < 1 and an analytical semigroup {S(t); t ≥ 0} on a given ...
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(BrasilCentro de Ciências e Tecnologia - CCTPÓS-GRADUAÇÃO EM MATEMÁTICAUFCGUniversidade Federal de Campina Grande, 2018-07-19)This work is divided into three parts. In the first, we study the behavior of constants that satisfy Hardy–Littlewood inequalities to multilinear forms defined in sequence spaces. Initially, we present the optimal constants ...
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(BrasilCentro de Ciências e Tecnologia - CCTPÓS-GRADUAÇÃO EM MATEMÁTICAUFCGUniversidade Federal de Campina Grande, 2018-02-23)In this work we study the asymptotic behavior to positive solutions of the following coupled elliptic system of nonlinear Schrödinger equations which are defined in the punctured unit ball B1(0)\{0} for n ≥ 3. Here g is ...
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(BrasilCentro de Ciências e Tecnologia - CCTPÓS-GRADUAÇÃO EM MATEMÁTICAUFCGUniversidade Federal de Campina Grande, 2019-05-03)This work studies the notions of k-torsionless modules and reduced G-perfect modules in a more general setting, relative to a semidualizing module. We consider various aspects and obtain new characterizations of these ...
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(BrasilCentro de Ciências e Tecnologia - CCTPÓS-GRADUAÇÃO EM MATEMÁTICAUFCGUniversidade Federal de Campina Grande, 2017-09-25)In this thesis we study the existence of solutions for a class of semilinear Schr¨odinger equations of the form − u + V (x)u = ¯ f(x, u), x ∈ RN, where N ≥ 2, the potential V is a 1-periodic continuous function. In ...
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(BrasilCentro de Ciências e Tecnologia - CCTPÓS-GRADUAÇÃO EM MATEMÁTICAUFCGUniversidade Federal de Campina Grande, 2021-08)In this work we present an study of the known family of Buchsbaum-Eisenbud complexes via the approach of Koszul-Čech spectral sequences given by Bouça and Hassanzadeh. We first construct this family of complexes using ...
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(BrasilCentro de Ciências e Tecnologia - CCTPÓS-GRADUAÇÃO EM MATEMÁTICAUFCGUniversidade Federal de Campina Grande, 2019-09)The main goal of this thesis is to present a generalization of the important invariant of the singularity theory, called the Milnor number. Such generalization is what we call the logarithmic Milnor number. As well as to ...
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(BrasilCentro de Ciências e Tecnologia - CCTPÓS-GRADUAÇÃO EM MATEMÁTICAUFCGUniversidade Federal de Campina Grande, 2019-11)Let K be a field of characterist 0. In this work we describe a basis for the graded identities of the Lie algebra slp(K) with the Pauli grading, where p is prime number. Moreover, we compute their graded codimensions and ...
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(BrasilCentro de Ciências e Tecnologia - CCTPÓS-GRADUAÇÃO EM MATEMÁTICAUFCGUniversidade Federal de Campina Grande, 2017-12-19)This work is divided into three parts. In the first part, we study constant mean or scalar curvature hypersurfaces immersed into Riemannian or Lorentzian space forms satisfying a suitable Okumura type inequality. Precisely, ...
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(BrasilCentro de Ciências e Tecnologia - CCTPÓS-GRADUAÇÃO EM MATEMÁTICAUFCGUniversidade Federal de Campina Grande, 2019-02)In this work we seek to solve two central problems. The first is the description of the isomorphism classes of upper block triangular matrix algebras graded by a finite abelian group over an algebraically closed field ...
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(BrasilCentro de Ciências e Tecnologia - CCTPÓS-GRADUAÇÃO EM MATEMÁTICAUFCGUniversidade Federal de Campina Grande, 2018-04)In this work we prove the existence and regularity of the global attractors and the pullback attractors for a class of autonomous and non-autonomous thermoelastic systems, respectively, with vanishing mean value for ...
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(BrasilCentro de Ciências e Tecnologia - CCTPÓS-GRADUAÇÃO EM MATEMÁTICAUFCGUniversidade Federal de Campina Grande, 2018-12)This thesis is divided into two independent parts. In the first one, we study the geometry of immersions of an n-dimensional manifold into semi-Riemannian ambient spaces. These ambient spaces consist in warped products of ...
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(BrasilCentro de Ciências e Tecnologia - CCTPÓS-GRADUAÇÃO EM MATEMÁTICAUFCGUniversidade Federal de Campina Grande, 2016-11-29)In this work, we aim to prove the existence of positive solution for some nonlocal elliptic problems via bifurcation theory, more precisely by the Global Bifurcation Theorem due to Rabinowitz, where such problems are related ...
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(BrasilCentro de Ciências e Tecnologia - CCTPÓS-GRADUAÇÃO EM MATEMÁTICAUFCGUniversidade Federal de Campina Grande, 2016-03-08)This work is divided into three parts. In the first part, we investigate the behavior of the constants of the Bohnenblust–Hille and Hardy–Littlewood polynomial and multilinear inequalities. In the second part, we show an ...
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(BrasilCentro de Ciências e Tecnologia - CCTPÓS-GRADUAÇÃO EM MATEMÁTICAUFCGUniversidade Federal de Campina Grande, 2019-02)In this work we present rigidity and uniqueness results for parabolic and stable constant mean curvature hypersurfaces immersed in Generalized Robertson-Walker and Satandard Static spacetimes. We obtained some conditions ...
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Existência de solução para uma classe de desigualdades variacionais com crescimento crítico em ℝN. (BrasilCentro de Ciências e Tecnologia - CCTPÓS-GRADUAÇÃO EM MATEMÁTICAUFCGUniversidade Federal de Campina Grande, 2018-02)The full abstract of this work can be found in the file, open it to view.