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Problemas elípticos não lineares envolvendo equações do tipo Kirchhoff
(Universidade Federal de São Carlos, 2016-03-21)
In this work we study the existence of weak solutions for four nonlinear elliptic problems of Kirchhoff type. These problems have in common the presence of a function M : R+ [ f0g ! R+; known as Kirchhoff-type function. ...
A transformação vetorial de Ribaucour para subvariedades de curvatura constante
(Universidade Federal de São Carlos, 2015-06-09)
In this work we obtain a reduction of the vectorial Ribaucour transformation
that preserves the class of submanifolds with constant sectional curvature of space forms.
As a consequence, a process is derived to generate ...
Classificação de ações de Z2k fixando espaços projetivos relativos a anéis diferentes
(Universidade Federal de São Carlos, 2013-12-13)
Let M be a closed smooth manifold and T : M ! M be an C1 involution defined on M. It is known that if F is the set of fixed points of T, then it is a finite union of closed submanifolds of M. Given F, a problem in this ...
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 ...
Resultados do tipo Ambrosetti-Prodi para problemas quasilineares
(Universidade Federal de São Carlos, 2015-12-04)
We present results of Ambrosseti-Prodi type to quasilinear problems involving the p-Laplace operator. We consider the scalar case and a a problem with systems of equations. In the scalar case, we work with the conditions ...
Existence and multiplicity of solutions to a class of elliptic problems involving operators with variable exponent
(Universidade Federal de São Carlos, 2016-12-05)
We study the existence and multiplicity of nontrivial solutions for two classes of elliptic problems. The first problem covers a general class of operators with variables exponents where the nonlinearitv has subcritical ...
Hipersuperfícies conformemente euclidianas com curvatura média ou escalar constante
(Universidade Federal de São Carlos, 2016-11-10)
In this work we study conformally flat hypersurfaces f: M3 ^ Q4(c) with three distinct principal curvatures in a space form with constant sectional curvature c, under the assumption that either its mean curvature H or its ...
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 ...
Análise microlocal nas classes de Denjoy-Carleman
(Universidade Federal de São Carlos, 2016-03-07)
Using a more general class of FBI transforms, introduced by S. Berhanu and J. Hounie in [16], we completely characterize regularity and microregularity in Denjoy-Carleman (non quasi analytic) classes, which includes the ...
Duas involuções comutantes fixando certas variedades de Dold e certas uniões de espaços projetivos relativos a anéis diferentes
(Universidade Federal de São Carlos, 2015-04-01)
Let (M; _) be a smooth action of Z2 2 on a closed, smooth and m-dimensional manifold, with fixed point set F = m[ j=0 Fj , where Fj means the union of the components of F of dimension j. Given such a F, we can ask for the ...