3125766 documents found, page 8457 of 312577
Existência e multiplicidade de soluções para uma classe de problemas quaselinea...
Barreiro, José Lindomberg PossianoIn this work, we will use the Mountain Pass Theorem for an even Functional, Genus Theory, Ekeland's variational principle and some properties involving Nehari manifolds to obtain existence and multiplicity of solutions for the following class of quasilinear problems involving variable exponents 8<: p(x)u + jujp(x)2u = f(x; u); x 2 u 2 W1;p(x) 0 ( ) n f0g where is a bounded domain in RN, not necessarily bounded,...
Existência de conexões versus módulos projetivos
Silva, Rafael Barbosa daThe notions of connection and covariant derivative has its origin in the field of Riemannian geometry , where there is no distinction between them. In fact, in this study we found that these notions are equivalent if we consider modules over K-algebras of finite type. We also show that the existence of connections implies the existence of covariant derivative. The main goal of this study is to determine which m...
Lineabilidade em conjuntos de funções reais que atingem o máximo em um único ponto
Nogueira, Tony KleversonIn this paper we study the concept of lineability and its recent applications to some sets of continuous real functions. These sets are formed by functions that achieve the absolute maximum in a single point of its domain. In the first chapter we consider the real line and its closed and semi-closed domais as intervals for these functions. In the second chapter we study more general results than those in the pr...
Propriedades Qualitativas de Soluções de Problemas Elípticos Semilineares em Do...
Melo Júnior, José Carlos de AlbuquerqueIn this work, we study qualitative properties of solutions of the semilinear elliptic equation class 8<: u + f(u) = 0, em , u = 0, em @ , defined in different kinds of unbounded domains of Rn, among them, infinite cylinders, half spaces and Lipschitz domains. We analyze properties like convergence, monotonocity and symmetry of solutions of the problem (1), when f satisfy certain conditions suitable. For this pu...
Multiplicidade de Equações Diferenciais Parciais de Primeira Ordem
Santos, Danilo da NóbregaIn this work we study the first order partial differential equations on the neighborhood of an isolated zero. Using the classification of singular points put by Izumiya in [27] and [28], we study the multiplicity of such equations introduced in [15]. When the first order partial differential equation defines an implicit differential equation, the definition of multiplicity coincides with the notion of multiplic...
Uma desigualdade do tipo Trudinger-Moser em espaços de Sobolev com peso e aplic...
Albuquerque, Francisco Sibério BezerraThis work addresses a class of Trudinger-Moser type inequalities in weighted Sobolev spaces in R2. As an application of these inequalities and by using variational methods, we establish sufficient conditions for the existence, multiplicity and nonexistence of solutions for some classes of nonlinear Schrödinger elliptic equations (and systems of equations) with unbounded, singular or decaying radial potentials a...
Desigualdade de Carleman e Controlabilidade Nula para uma EDP com Coeficientes ...
Santos, Maurício CardosoIn the present work, we study controllability results for two problems on the theory of the partial differential equations. We use global Carleman inequalities to show the null controllability for the heat equation and for a PDE with complex principal part. We obtain the control of minimal norm solving a dual minimization problem.; Coordenação de Aperfeiçoamento de Pessoal de Nível Superior; No presente trabalh...
Equações de Schrödinger Semilineares com Potencial Não-Regular no Infinito
Lima, Eudes Leite deIn this work, we study issues related the existence, nonexistence and regularity of solutions to semilinear Schrödinger equations of type u + a(x)u = jujp2u; u 2 H1(RN); where N 2, p > 2 if N = 2 and 2 < p < 2N=(N 2) if N 3 and the potential a(x) is a positive function that belongs to L1(RN). To obtain the results, we use a Linking Theorem and the Principle of Symmetric Criticality.; Coordenação de Aperfeiçoame...
Existência de atrator global para equações de Navier-Stokes sobre alguns domíni...
Silva, Jarbas Dantas daIn this work, we study the Navier-Stokes flow in R2 8> >>>>>><> >>>>>>: @u @t − ⌫!u + (u ·r)u + rp = f em ⌦ ⇥ [0,+1) , divu = r· u = 0 em ⌦⇥ [0,+1) , u = 0 sobre @⌦ ⇥ [0,+1) , u(·, 0) = u0 em ⌦, in an unbounded domain such that the Poincar´e s inequality is holds, i.e., there is a constant #1 > 0 such that we have the following inequality Z⌦ $2dx 1 #1 Z⌦ |r$|2dx, for all $ 2 H1 0 (⌦). We show the existence of...
Controlabilidade exata de sistemas parabólicos, hiperbólicos e dispersivos
Santos, Maurício CardosoIn this thesis, we study controllability results of some phenomena modeled by Partial Differential Equations (PDEs): Multi objective control problem, for parabolic equations, following the Stackelber-Nash strategy is considered: for each leader control which impose the null controllability for the state variable, we find a Nash equilibrium associated to some costs. The leader control is chosen to be the one of ...