In this dissertation we ll present a discussion about the Representations of the Symmetric Group Sn and Alternating Group An. We ll study basics results of the Young s Theory about the representations of the Symmetric Group ...

The present work study the global solvability of first order real linear partial diferential operators when the principal part has precisely one equilibrium point. Moreover, examples and counterexamples are presented.

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 ...

We present results of Ambrosseti-Prodi type to quasilinear problems involving the p-Laplace operator. We consider the scalar case and a a problem with systems of equations. In the scalar case, we work with the conditions ...

We study the problem: (2) _∂tup − Δpup = 0, (0,∞) × Rd up(0, x) = g(x), {t = 0} × Rd ∞ > p ≥ d+1, where the initial data up(0, x) = g(x) are Lipschitz continuous, non-negative and it have ...

A great variety of phenomena that happens in nature relies on the theory of differential equations to be properly modeled and explained. In this work we focus on a specific class of partial differential equations named ...

In this work we proof, by compactness methods, a local and global existence result for p-laplacian diferential inclusions with p > 2. Most of relevant theorems we need are in this text, including Monotone and Multivalued Operators ...

We study degenerate parabolic systems arised in three-phase capillary flows in porous media under a pressure control at the inflow and outflow boundaries. We perform a mathematical study of such systems for a class of ...

The objective of this work is to establish the existence of universal bundles and to relate this existence to finite dimension polyhedra. As a consequence, we present examples of universal bundles for the case of classic groups.