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(See full text for download) It is proved that an isometric immersion f: Mn ! Qn+1 c of a compact Riemannian mani-fold of dimension n ¸ 3 into a space form of dimension n + 1 is equivariant with respect to a Lie 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 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 ...

In this work, we will study the existence and nonexistence of positive weak solutions for two classes of elliptic systems with weights. The first class will involve nonlinearities of the type positone and semipositone. ...

We study if a time-dependent system is either dynamically stable or unstable, i.e., if the expected value of a positive and discrete observable is a bounded function of time or not. Initially we consider topological ...

The aim of this work is to give some suficient conditions for the existence and multiplicity of the solutions for a class of elliptic problems with sign-changing weight function in unbounded domains, using for this variational ...

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 ...

In this work we study a reaction diffusion problem governed by the p-laplacian with p > 2 and we analyze properties of the continuity of the set of equilibria with respect to the diffusion parameter. We also consider coupled ...