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Existência e multiplicidade de soluções para diferentes classes de equações de Choquard
(Universidade Federal de São Carlos, 2023-04-12)
In the present work we deal with two classes of Choquard Elliptic Equations with unbounded and sign-changing potentials, considering Fractional and Kirchhoff operators and nonlinearities with exponential critical growth. ...
Soluções positivas para equações elípticas com operadores fracionários
(Universidade Federal de São Carlos, 2022-03-18)
In this work, we present results of existence, non-existence and multiplicity of positive
solutions to elliptic problems involving the fractional p-Laplacian operator and the
fractional Laplacian in the critical case, ...
Operadores pseudo-diferenciais e espaços de Hardy.
(Universidade Federal de São Carlos, 2005-05-20)
Obs.:Devido a restrições dos caracteres especias, verifcar abstract em texto completo para download.
Resolubilidade global para uma classe de campos vetoriais no Toro.
(Universidade Federal de São Carlos, 2004-12-10)
Hipoelipticidade global para sublaplacianos, perturbações de ordem inferior, resolubilidade e hipoelipticidade global para uma classe de campos vetoriais
(Universidade Federal de São Carlos, 2018-03-16)
We start this work by recalling a class of globally hypoelliptic sublaplacians defined on the N-dimensional torus introduced by Cordaro and Himonas in 1994 and studied by Himonas and Petronilho in 2000. We consider a new ...
Existence and multiplicity of solutions for problems involving the Dirac operator
(Universidade Federal de São Carlos, 2019-07-30)
In this thesis, we study equations that involving the Dirac operator and which have the form
$-i \alpha \cdot \nabla u + a \beta u + M(x)u = F_{u}(x,u), em \mathbb{R}^{3},$
where $\alpha = (\alpha_1, \alpha_2, \alpha_3),$ ...
Existência e multiplicidade de soluções para equações de Schrödinger com potencial magnético
(Universidade Federal de São Carlos, 2018-06-26)
In this work, we consider first a class of concave-convex type elliptical problems with sing-changing weight functions that satisfy some additional conditions. Still, we work with the magnetic laplacian operator. We prove ...
Dinâmica de EDP parabólicas locais ou não locais: existência, unicidade e comportamento assintótico de solução
(Universidade Federal de São Carlos, 2019-07-12)
This work is dedicated to the study of dynamical properties of some partial differential equations (PDE, for short) of parabolic type, local or nonlocal ones. We prove existence, uniqueness and establish the asymptotic ...
Existence and multiplicity of solutions for a class of elliptic equations involving nonlocal integrodifferential operator with variable exponent
(Universidade Federal de São Carlos, 2020-03-16)
In this work, we are interested in the existence and multiplicity of nontrivial solutions for a class of elliptic problems. The first problem deals with the existence of nontrivial weak solutions to a class of elliptic ...
Existência e multiplicidade de soluções para uma classe de problemas envolvendo operadores fracionários
(Universidade Federal de São Carlos, 2019-08-14)
In this work, we study existence and multiplicity of weak solutions for three problems involving fractional operators, with emphasis on critical growth nonlinearities. The first problem deals with the existence of sign-changing ...