In this work we developed an abstract theory for existence and characterization of attractors for multivalued semigroups defined by generalized semi ows and we apply the abstract results to systems of p-laplacian ...

This work is concerned with a parabolic problem, occuring in population genetics, under a nonlinear Neumann boundary condition with a weight of indefinite sign and a positive parameter. Considering a phase space appropriate ...

The classic Theorems of Borsuk-Ulam and Ljusternik-Schnirelmann have many generalizations, among which we point out that given by C. Schupp [12] and H. Steinlein [14]. Schupp generalizes the Borsuk-Ulam Theorem by replacing ...

In this work we study the Hamiltonian of the hydrogen atom in 1, 2 and 3 dimensions. Especifically, it is defined as a self-adjoint operator in the Hilbert space L2(Rn), n = 1, 2, 3. Nevertheless, the main goal is to study ...

In this work we study global Gevrey hypoellipticity on the Euclidean 2-space R² for a class of first order linear partial differential operators with coeffcients in Cw2χ (R). Necessary and suffcient conditions for ...

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 ...

In this work we present a construction of classifying spaces for principal bundles by studying simplicial and co-simplicial objects over a category and as application we present the construction of Eilenberg-MacLane ...

In this work, we study the global existence of smooth solutions for certain systems of the form ut + f(u)x = Duxx, where u and f are vectors and D is a positive, constant and diagonalizable matrix. We assume that the ...

The objective of this work is to present some properties of singular solutions for linear partial differential operators with constant coe±cients. We prove Paley-Wiener-Schwartz s theorem and its version for singular ...

In 1961, Santaló[21] suggested that, considering the family of the convex bodies in R2, it was found a complete system of inequalities for each pair and each triple of the functions area, perimeter, diameter, inradius, ...