3125766 documents found, page 8458 of 312577
Sobre uma classe de problemas elípticos com não linearidades do tipo côncavo-co...
Pita, Maxwell de SousaIn this work, we will establish a version of the Mountain Pass Theorem due to Martin Schechter [12], which will provide a Cerami sequence at a max-min level. As a consequence of this result, together with the Ekeland variational principle, we obtain some results of existence and multiplicity of solution for a class of semilinear elliptic problems involving a nonlinearity of concave-convex type; Coordenação de A...
Existência de soluções via métodos variacionais para uma classe de problemas qu...
Ferreira, Marcelo CarvalhoIn this thesis we establish existence and multiplicity results for solutions to some classes of problems on RN involving the p(x)-Laplacian operator. In the first part, we consider classes of problems dealing with nonlinearities possessing critical growth. Ultimately, we consider a class of problems with a nonlinearity possessing a subcritical growth. In this latter case, we searched for multi-bump solutions. A...
Sobre o Complexo de Koszul
Silva, José Naéliton Marques daCoordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPES; O complexo de Koszul é uma ferramenta de vital importância na Álgebra Comutativa. Ele nos permitirá definir alguns invariantes que nos dão informações refinadas acerca de um determinado módulo. Entre eles podemos ressaltar a profundidade e a multiplicidade de tal módulo em relação à um ideal. A primeira mede o comprimento da maior M-sequência ...
Propriedades de simetria para soluções de equações elípticas quase lineares em ...
Costa, Ricardo Pinheiro daIn this work we investigate monotonicity and symmetry properties of of solutions to equations involving the p-Laplace-Beltrami operator in hyperbolic space and sphere. The main tools used to obtain the result is a variant of the method of moving planes and a careful use of the maximum and comparison principles; Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPES; Neste trabalho investigamos prop...
Existência e Blow-up de soluções para um problema de valor de fronteira nãoline...
Costa, Ricardo Pinheiro daIn this work we prove results of existence, multiplicity and blow-up solutions for a boundary value problem originated Corrosion Modeling and involving a parameter > 0. We obtain the existence of an infinity of solutions of the problem using the so-called theory of Lyusternik-Schnirelman, and ideas due to S.I. Pohozaev and A. Bahri. The basis of our analysis of limite behavior, Blow-up, is a uniform estimate @v...
Derivações localmente nilpotentes e os teoremas de Rentschler e Jung
Abreu, Kelyane Barboza deThe main goal of this work is to furnish a proof of the well-known Rentschler s Theorem, which describes the structure of the locally nilpotent derivations on the polynomial ring in two indeterminates (over a field of characteristic zero), up to conjugation by tame automorphisms. As a central application of this result, we prove Jung s Theorem, concerning the generators of the group of automorphisms in two vari...
Multiplicidade de soluções para sistemas do tipo Schrödinger-Poisson
Oliveira, Alcionio Saldanha deIn this work, we will use the Mountain Pass Theorem, Ekeland s Variational Principle, the Concentration-Compactness Principle, the Brezis & Nirenberg Method, Penalization Method and some properties involving Nehari manifolds to obtain existence and multiplicity of solutions for the following class of elliptic systems. () 8<: u + V (x)u + u = r(x; u) em R3; = u2 em R3; where r : R3 R ! R is a function that has c...
Sobre Soluções Positivas para uma Classe de Equações Elípticas Semilineares
Pontes, Enieze Cardoso deIn this work, we study the existence of positive solutions for a class of semilinear elliptic equations in a smooth bounded domain, with Dirichlet boundary condition and non-linear terms changing sign as well as with small perturbations. In order to obtain the positive solution, in the first case we use a version of the Mountain Pass Theorem in Ordered Banach spaces. In the second case, the main term is under a...
Uma introdução ao cálculo quântico
Trajano, Brunno de CastroQuantum Calculus consists of a different approach to the subject Calculus, which is commonly studied in courses such as Mathematics and Physics. We therefore chose to address this theme, aiming to present the q-derivative and its applications, as well as quantum integration and its applications. For this, we rely on principles such as q-calculus and h-calculus, which consist of two topics of Quantum Calculus.; ...
Desigualdade de Bohnenblust-Hille: estimativas e comportamento assintótico
Albuquerque, Nacib André Gurgel eThe Bohnenblust{Hille inequality guarantees the existence of a function C : N ! [1;+1), corresponding to each positive integer m, a constant C(m) with the following property: regardless of the choice of the natural N and the bounded m-linear form U : `N 1 `N 1 ! K, the sequence (U(ei1 ; : : : ; eim))N i1;:::;im=1 belongs to ` 2m m+1 and its 2m m+1-norm is bounded by C(m)kUk, where k k denotes the supremum norm....