Lawrence Markus, a well-known mathematician, published, in 1954, a strong result about classification of planar vector fields. Afterwards, Dean Arnold Neumann generalized such work for continuous flows, and the result ...

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. ...

In this thesis, we characterize the continuity of strongly singular Calderón-Zygmund operators of type $\sigma$ in Hardy spaces, weighted Hardy spaces and Hardy-Morrey spaces in the spirit of (Coifman and Meyer, 1977). In ...

The purpose of this work is to study the Hardy spaces Hp(Rn) on euclidean spaces and your localized version, known as hp(Rn). As an application of this theory, we are going to show that Calderón-Zygmund and pseudo-differential ...

This work is dedicated to the study of the Yamabe flow on a class of non-compact complete Riemannian manifolds with fibered boundary and infinite volume, called Phi-manifolds. Some examples of this type of manifold include ...

The goal of this master’s degree dissertation is to study the asymptotic behavior of non-autonomous hyperbolic partial differential equations with time-dependent coefficients. In order to achieve that, we introduce the ...

In this work, we investigate the existence of positive stationary solutions of the Kirchhoff equations in a limited domain, an inhomogeneous spatial coefficient and a function of first order terms with growth up to the ...

This work, we classify a non- degenerate center at the origin of a planar Hamiltonian system associated to a function of the form $H(x,y)=A(x)+B(x)y^2 + C(x)y^4$, where $A$, $B$ and $C$ are polynomials. After seing a ...

In this work, we adress the study of stability of a reaction-difusion equation in two domains: in a family of surfaces of revolution without boundary and in a bounded open interval whose diffusion function vanishes at a ...

In this thesis we consider the non-uniqueness for a class of parabolic operators. We will prove that for certain real analytic perturbation of the Heat Operator there is a non unique solution for the Initial Value Problem.