In this work we investigate, in detail, recent research works related to the theory of absolutely summing operators between Banach spaces. More precisely, we investigate the connection between the concept of cotype and coincidence results in the theory of absolutely summing operators.; Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPES; Neste trabalho estudamos, com detalhes, temas de pesquisa ...
In this work we study a recent unified version of Pietsch Domination Theorem, due to Botelho, Pellegrino and Rueda ([8]) that unifies a number of known Pietsch-type domination theorems for classes of mappings that generalize the ideal of absolutely p- summing linear operators. A final result shows that Pietsch-type domination theorems are totally free from algebraic conditions, such as linearity, multilinearity...
In this work we talk about properties of the Dirichlet-to-Neumann map for the conductivity equation in a smooth manifold with boundary of R2. We use several times the Maximum Principle to conclude a Alternating Property of the Dirichlet-to- Neumann map. Using this property, we and that the Kernel satises a given set of inequalities. Finally, we note that these inequalities imply the Alternating Property of the ...
We present in this work a complete classification of the sublattices of (Zn,+, ≥) which are not groups of divisibility. Thus we provide a new class of ordered filtered groups of which are not groups of divisibility. The sublattices presented here generalize the exemples of P.Jaffard and G. G. Bastos; Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPES; Apresentamos nesse trabalho uma classificaç...
In this work we'll prove existence of weak solutions to a coupled mixed problem of nonlinear partial diferential equation in the class of systems of nonlinear Klein- Gordon equations involving pseudo-Laplacian operator. For proving existence of weak solutions we use Faedo-Galerkin's method with compacity and monotonicity properties.; Coordenação de Aperfeiçoamento de Pessoal de Nível Superior; Neste trabalho pr...
This work is dedicated to the study of existence, uniqueness and stability for the nonlinear equation for Kawahara ut + ux + uxxx + upux - uxxxxx = 0 (p = 1; 2) , on a bounded domain. To prove the existence and uniqueness, we use techniques of nite di¤erences for the case p = 1 and semigroup theory for the case p = 2. Under e¤ect of a localized damping mechanism, we obtain an exponential decay (as t ! 1) for th...
In this work we investigate recent results involving lineability and spaceability and the nonlinear theory of absolutely summing mappings.; Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPES; Neste trabalho estudamos resultados recentes envolvendo o conceito de lineabilidade e espaçabilidade e a teoria não-linear de aplicações absolutamente somantes.
In this dissertation, we study existence of both one-sign and nodal positive solutions (with exactly two nodal domains) for a class of quasilinear Schrödinger equations, which model physic phenomena, for example, in plasma physics. To obtain the results, it was used, mainly, the Nehari method, as well as, regularity theory of elliptic and Concentration-Compactness Principle.; Coordenação de Aperfeiçoamento de P...
In this work we present results of existence, non-existence and uniqueness of radial positive solutions for elliptic semilinear equations in subdomains of euclidean plane. We consider nonlinearities involving critical growth the type Trudinger- Moser. The technique used is shooting method introduced in 1905 by Severini [21]. This is a iterative method which permits determine the solution of a contour problem by...
In this work we present some results involving lineability and the linear theory of absolutely summing operators. We note that the technique presented is closely related to the theory of hereditarily indecomposable Banach spaces and that the presence of an unconditional basis in one of the spaces involved is crucial to guarantee some results.; Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPES;...