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Resolubilidade local para duas classes de campos de vetores suaves complexos
(Universidade Federal de São Carlos, 2016-07-28)
This work study complex linear partial differential operators of order one without
having terms of zero order (complex vector fields). We have established a necessary and
suficient condition for local solvability of a ...
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 ...
Resultados de existência para as equações críticas de Klein-Gordon-Maxwell
(Universidade Federal de São Carlos, 2011-02-10)
In this work we analyze the existence of radially symmetric solutions, positive solutions as well as the existence of ground state solutions for a class of Klein-Gordon-Maxwell equations when the nonlinearity exhibits ...
Estabilidade em equações de reação e difusão : interação entre difusibilidade e geometria em superfícies de revolução e um problema singularmente perturbado no caso de intersecção das raizes da equação degenerada
(Universidade Federal de São Carlos, 2013-03-07)
In this work we study two distinct problems. The first is a parabolic problem with variable diffusivity on surfaces of revolution. The objective is to find mechanisms of interaction between the diffusivity function and the ...
Problemas de autovalores de Steklov-Neumann e aplicações
(Universidade Federal de São Carlos, 2012-03-26)
In this work we will obtain four main results of existence of weak solution, three of them to elliptic partial di_erential systems with nonlinear boundary conditions and the other to elliptic partial di_erential equations ...
Representação de soluções homogêneas contínuas de campos vetoriais no plano
(Universidade Federal de São Carlos, 2015-06-11)
In this work we study conditions for the validity of the analogue of Mergelyan’s
theorem for continuous solutions of a type of locally integrable vector field.
On a domain in the plane, we consider a vector field L that ...
Campos localmente resolúveis, espaços de Hardy e extensão de funções CR
(Universidade Federal de São Carlos, 2012-05-23)
Suppose that M is a smooth submanifold of CN and that L = ∪z∈CnLz is the Cauchy- Riemann structure associated to the N-dimensional complex space. For each p ∈ M we can consider the vector space Ap = CTpM ...