Buscar
Mostrando ítems 51-60 de 77
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 ...
Espaços de Hardy radial
(Universidade Federal de São Carlos, 2020-02-06)
One presents in this work an atomic decomposition via radial atoms for distributions on subspace $\mathcal{H}^{p}_{rad}(\mathds{R}^{n})$ for $0 < p\leqslant 1$, of Hardy radial spaces $H_{rad}^{p}(\mathds{R}^{n}) \doteq ...
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 ...
Equisingularidades de funções definidas em ICIS e IDS
(Universidade Federal de São Carlos, 2020-03-10)
We study the equisingularity of a family of function germs $\{f_t\colon(X_t,0)\to (\mathbb{C},0)\}$, where $\{(X_t,0)\}$ is a family of $d$-dimensional isolated determinantal singularity. We define the $(d-1)$th polar ...
Unicidade para equações dos tipos: Burgers, Kuramoto-Sivashinsky e Schrödinger
(Universidade Federal de São Carlos, 2017-12-15)
Based on Carleman's estimates and under certain conditions of linear exponential decay we prove uniqueness for equations of type: Burgers, Kuramoto-Sivashinsky and Schrödinger.
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 ...
Mínimos locais de funcionais com dependência especial via Γ-convergência: com e sem vínculo
(Universidade Federal de São Carlos, 2011-05-30)
We address the question of existence of stationary stable solutions to a class of reaction-diffusion equations with spatial dependence in 2 and 3-dimensional bounded domains. The approach consists of proving the existence ...
Existência e multiplicidade de soluções para uma classe de equações de Schrödinger com expoente supercrítico
(Universidade Federal de São Carlos, 2014-06-30)