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Atratores pullback para uma equação de difusão não autônoma com retardo
(Universidade Federal de São Carlos, 2020-03-12)
Our goal in this work is to study a nonautonomous parabolic differential equation. We are going to show some results about existence of pullback attractors for this type of problem and for the equation without the delay.
Hipoelipticidade global analítica e Gevrey de sublaplacianos sob condições Diofantinas
(Universidade Federal de São Carlos, 2022-09-22)
In this dissertation we consider the problem of global Gevrey regularity for a class of partial differential
operators in the form of a sum of squares of vector fields and we show that these operators are
globally Gevrey ...
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 ...
Non-autonomous Klein-Gordon-Zakharov system: pullback dynamics in the continuous and impulsive approaches
(Universidade Federal de São Carlos, 2020-12-22)
This work is dedicated to study a non-autonomous formulation of the Klein-Gordon-Zakharov system, which is a coupled system consisting of two non-autonomous evolution equations, where each one is of second order in time. ...
Boa postura para alguns sistemas de equações dispersivas e para uma equação dispersiva
(Universidade Federal de São Carlos, 2020-10-30)
The main aim of this work is to establish the well posedness for a dispersive partial differential equations systems and for a partial differential equation, with initial data belonging to Gevrey space.
The proof ...
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, ...
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. ...
Existência de pullback atrator exponencial para uma família de problemas dominados por uma perturbação do p(x)-Laplaciano com difusão grande localizada, via método das l-trajetórias
(Universidade Federal de São Carlos, 2020-12-22)
In this work, we use the method of l-trajectories to prove the existence of a family of exponential attractors for autonomous nonlinear reaction-diffusion equations, involving the p(x)-Laplacian with large localized ...