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Mergulho de superfície mínima e curvatura total de seu bordo
(Universidade Federal de Santa Maria, 2021-10-07)
Given a minimal submanifold Σn ⊂ Rm with compact boundary Γn−¹, in this work we
analyze under which conditions on Γ we can conclude that Σ is embedded. We show that if a
simple closed curve Γ ⊂ Rm, piecewise regular and ...
Teoremas de Maschke
(Universidade Federal de Santa Maria, 2013-05-09)
In representation theory, having a representation of a group G is equivalent to having
a kG-module. Since |G-modules which are sums of irreducible kG-modules form a very
important class in the theory of modules, to know ...
Sobre uma classe de problemas elípticos envolvendo o operador p-Laplaciano, com peso e potencial indefinidos e diferentes condições de fronteira
(Universidade Federal de Santa Maria, 2019-03-12)
This work is dedicated to study two distinct classes of eigenvalue problems, involvinthe p-laplacian operator and indefinite weight and potential functions. We give somge
necessary and sufficient conditions such that there ...
Existência e multiplicidade de soluções fracas para equações diferenciais parciais elípticas com não linearidade de fronteira
(Universidade Federal de Santa Maria, 2017-03-16)
Não foi possível inserir o abstract.
Problemas de autovalores para o p-Laplaciano com distintas condições de fronteira
(Universidade Federal de Santa Maria, 2019-07-25)
The goal of this work is to obtain, through the Ljusternik-Schnirelman principle,
a sequence of eigenvalues for p-Laplacian with Dirichlet, Neumann and Robin-Steklov
boundary conditions, the last one which is a combination ...
Multiplicidade de soluções para um problema envolvendo o operador p-laplaciano fracionário
(Universidade Federal de Santa Maria, 2019-02-22)
The aim of the work is to give, through variational methods, sufficient conditions on a
positive parameter to ensure the existence and multiplicity of solutions for the class of
elliptic problems. Such class of problems ...
Equações de Navier-Stokes: aspectos físicos e solução fraca em espaços de Sobolev
(Universidade Federal de Santa Maria, 2008-12-10)
In this work, based on the Law of conservation of mass and the Newton s second Law, we deducted the equations of Navier-Stokes for the uncompressing fluids. Then we have developed in a detailed way the varying form of ...
Pontos helicoidais e vértices de Darboux de curvas no espaço euclidiano
(Universidade Federal de Santa Maria, 2010-03-11)
The main aim of this work is a study about twistings points and Darboux vertices of n-space curves. We define the concept of twisting of a n-space curve as flattening
point of its tangent indicatrix and show that is ...
Retratos de fase de uma família de sistemas cúbicos planares integráveis com duas parábolas invariantes
(Universidade Federal de Santa Maria, 2022-06-10)
In this work we present results of the qualitative theory of Ordinary Differential Equations
used in the study of planar vector fields. Then, we apply these results to determine the
global phase portrait in the Poincaré ...
O teorema de Cauchy na mecânica dos fluidos
(Universidade Federal de Santa Maria, 2010-12-21)
The present work shows Cauchy's Theorem on its classical form, and it has the objective of weakening their statements, and provides aplications in continuum mechanics. The metodology used here is the axiomatic, that is, a ...