In this thesis we study the asymptotic properties for the solution of the Cauchy problem for the Klein-Gordon equation with non-effective time-dependent potential. The main goal was define a suitable energy related to ...

We study fractal subordinacy theory for one-dimensional Schrödinger operators. First, we review results on Hausdorff subordinacy for discrete one-dimensional Schrödinger operators in order to analyze the differences and ...

The aim of this work is to present results about the existence of non-trivial solutions for some classes of resonant and superlinear eliptic systems employing topological methods. More specifcally, we use a-priori bounds ...

In this work we study the existence of weak solutions for four nonlinear elliptic problems of Kirchhoff type. These problems have in common the presence of a function M : R+ [ f0g ! R+; known as Kirchhoff-type function. ...

In this work we obtain a reduction of the vectorial Ribaucour transformation that preserves the class of submanifolds with constant sectional curvature of space forms. As a consequence, a process is derived to generate ...

In this thesis we classify the isometric immersions f : Mm ^ Sm+p x R with m > 3 P < m — ^d c < 1, where Mm denotes a Riemannian manifold with constant sectional curvature equal to c. We obtain partial results on the ...

Let F : Rn &#8594; Rn be a polynomial map such that the derivative map DF(x) be invertible for each x &#8712; Rn. In this work, using techniques of solvability of suitable vector fields, we investigate the role of the ...

In this work, we studied the construction of weak solutions for some systems conservation laws and for a scalar conservation laws For the p-systems relativistic we use the Wave-front tracking based on Bressan, when the ...

We study non-autonomous problems with the main part given by the p- Laplacian and establish existence results of pullback attractor, comparison of solutions and existence of a maximal and a minimal complete trajectories. ...

This work study complex linear partial differential operators of order one without having terms of zero order (complex vector fields). We have established a necessary and suficient condition for local solvability of a ...