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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 ...
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 ...
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 ...
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. ...
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. ...