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Existência de múltiplas soluções para classes de problemas elípticos com função peso mudando de sinal em domínios ilimitados
(Universidade Federal de São Carlos, 2009-03-20)
The aim of this work is to give some suficient conditions for the existence and multiplicity of the solutions for a class of elliptic problems with sign-changing weight function in unbounded domains, using for this variational ...
Sincronização e continuidade em um problema parabólico governado pelo p-Laplaciano
(Universidade Federal de São Carlos, 2009-02-16)
In this work we study a reaction diffusion problem governed by the p-laplacian with p > 2 and we analyze properties of the continuity of the set of equilibria with respect to the diffusion parameter. We also consider coupled ...
Efeito Aharonov-Bohm: extensões auto-adjuntas e espalhamento
(Universidade Federal de São Carlos, 2009-10-05)
In this work we present a study of topics related to the Aharonov-Bohm (AB) e®ect. Our framework is that of nonrelativistic quantum mechanics and we use the point of view of mathematical physics. (1) We study the solenoid ...
Equações de BBM-Burgers generalizadas: resultados de existência e convergência de soluções
(Universidade Federal de São Carlos, 2009-03-26)
O problema pseudoviscoso e a equação de BBM-Burgers estocásticos
(Universidade Federal de São Carlos, 2016-09-30)
This work is divided in two parts: In the first part, we study the convergence of a sequence
of approximating solutions to a solution of the stochastic conservation law, in the additive and
multiplicative case. In the ...
A álgebra graduada associada a uma valorização
(Universidade Federal de São Carlos, 2021-11-30)
We begin this work with a study of the graded algebra associated to a valuation $\nu: K \longrightarrow \Gamma_{\infty}$. We verify that in the cases where the value group is free or the residue field is closed by radicals, ...
Local coercivity for semilinear elliptic problems
(Universidade Federal de São Carlos, 2018-03-13)
We study a non-homogeneous semilinear eliptic problem with Dirichlet condition baundary in a bounded domain and we show existence of solution. Also extend the result to the fraccionary laplacian case and to the homogeneous ...
Equações de evolução com laplaciano fracionário: existência, unicidade, estimativas Lp-Lq, conservação generalizada de energia e espalhamento
(Universidade Federal de São Carlos, 2018-09-21)
In this thesis we study some sigma-evolution equations in the Petrowsky's sense. When the coefficients are constant we obtain Lp-Lq estimates for linear equations and apply them to obtain results of existence, uniqueness ...
Múltiplas soluções em certas classes de problemas elípticos não homogêneos e não locais
(Universidade Federal de São Carlos, 2018-03-29)
This work concerns multiplicity of solutions to some nonhomogeneous and nonlocal elliptic problems. The nonlocal term on the operator is of Kirchhoff type and it may be degenerated or not, continuous or discontinouos at ...
Aplicações entre 3-variedades Sol e números de Nielsen para coincidências
(Universidade Federal de São Carlos, 2017-08-24)
Let MA be the torus bundle over S1 obtained using as gluing map an Anosov matrix A. In this work we discuss maps from MA to MD and compute the coincidence Nielsen numbers for some families of such maps, moreover we use ...