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Um Teorema de Ponto Fixo e Aplicações a Equações Elípticas Semilineares

Marques, Dayvid Geverson Lopes

In this work, we study a fixed point theorem for increasing operators in ordered normed spaces and we apply it in order to obtain results of existence of weak solution for semilinear elliptic equations of type 8<: ---u = f(x; u) + h; in u = 0; on @ ; where - RN is a smooth domain, f : -R --! R satisfies some convenient conditions and h 2 H--1(.; Coordenação de Aperfeiçoamento de Pessoal de Nível Superior; Neste...

Date: 2015   |   Origin: Oasisbr

Lineabilidade e espaçabilidade em conjuntos de operadores que atingem a norma e...

Câmara., Kleber Soares

The notion of lineability emerged in the eighties, albeit its essence is quite older, as a method to measure the existence of linear structures in a priori nonlinear frameworks. More precisely, a subset of a topological vector space is lineable (spaceable) if it contains, except eventually for the null vector, an infinite-dimentional subspace (infinite- dimensional closed subspace). In this work we investigate ...

Date: 2015   |   Origin: Oasisbr

Superfícies Invariantes no Espaço Homogêneo Sol com Curvatura Constante.

Neto., Guilherme Luiz de Oliveira

In this paper we studied surfaces with constant mean curvature and surfaces with constant Gaussian curvature in the Sol space which are invariant under the action of two one-parameter subgroups of isometries of the ambient space. Furthermore, we classify the surfaces that satisfy a relationship of type k1 = mk2, where k1 and k2 are the principal curvatures of the surface and m &#8712; R.; Coordenação de Aperfei...

Date: 2015   |   Origin: Oasisbr

Controle hierárquico para a equação do calor via estratégia Stackelberg-Nash

Albuquerque., Islanita Cecília Alcantara de

We have as main issue in this work the Hierarchical Control, which consists in a leader-followers system. We studied in special the heat equation approximate controllability under Stackelberg-Nash&#146;s strategy, which is directed in controlling every system from local controls choices with the minimum possible costs.; Coordenação de Aperfeiçoamento de Pessoal de Nível Superior; Temos como principal tema neste...

Date: 2015   |   Origin: Oasisbr

Existência de soluções para equações elípticas semilineares envolvendo não line...

Silva., Rosinângela Cavalcanti da

The goal of our work is to prove the existence of solutions to a class of semilinear elliptic equations in a bounded domain, involving concave-convex type nonlinearities. We use a variety of methods to and these solutions, such as Mountain Pass Theorem, Ekeland's Variational Principle, Lagrange Multipliers Theorem, Nehari Manifold and sub and supersolution method.; Coordenação de Aperfeiçoamento de Pessoal de N...

Date: 2015   |   Origin: Oasisbr

Sobre uma classe de equações semilineares do tipo logística/ Adriano Alves de M...

Medeiros, Adriano Alves de

In this work we study a class of semilinear equations of the logistic type. More precisely, we consider the homogeneous and inhomogeneous cases. In the homogeneous case, we discuss the existence, nonexistence and uniqueness of positive solution as well the decay at infinity. The existence is obtained by using the method of sub-super solutions. In the inhomogeneous case, we discuss the existence of positive solu...

Date: 2015   |   Origin: Oasisbr

Contribuições à teoria dos operadores Cohen fortemente somantes

Campos, Jamilson Ramos

This work presents a study of Cohen strongly summing operators under the viewpoint of the theory of multilinear operators ideals and polynomial ideals. Furthermore, we introduce two new classes that generalize the concept of multilinear operators and polynomials of this nature, namely multiple Cohen strongly summing operators and Cohen strongly summing operators at a given point. We show that the new classes de...

Date: 2015   |   Origin: Oasisbr

Singularidades de Equações Diferenciais Implícitas

Oliveira, Francisco Vieira de

In this work we study implicit differential equations. Following the Thom tranversality theorem and the singularity theory we find an open and dense subset of this equation class that present only good singularity. This singularity are of six kind well folded saddle, well folded node, well folded focus, elliptical gather, hyperbolic gather. Davydov,in [8] showed the normal forms of a IDE in the case of well fol...

Date: 2015   |   Origin: Oasisbr

Sistemas Elípticos em R^N via métodos variacionais

Souza, Edna Cordeiro de

In this work we study systems of elliptic equations of gradient and hamiltonean types by variational methods whose domains is the whole RN. More specifically, we use critical point theorems of the mountain pass and linking types to prove results of existence of non-trivial solutions to these problems.; Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPES; Neste trabalho estudamos sistemas de equa...

Date: 2015   |   Origin: Oasisbr

Aplicações dos números complexos na geometria plana

Feitosa, Laércio Francisco

The teaching of Complex Numbers is based almost exclusively on an algebraic approach, although the geometric approach of complex numbers is contemplated in the study of its polar form (or trigonometric). The purpose of this paper is to present some significant applications of complex numbers in plane geometry, making thus a contrast to this view strictly algebraic and formal, that has traditionally characterize...

Date: 2015   |   Origin: Oasisbr

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