Joilson Ribeiro

On almost summing polynomials and multilinear mappings

In this article we explore the notion of everywhere almost summing polynomials and define a natural norm which makes this class a Banach polynomial ideal which is a holomorphy type and also coherent and compatible with the notion of almost summing linear operators. Similar results are not valid for the original concept of almost summing polynomials, due to G. Botelho.

Global solution for a thermoelastic system with p-Laplacian

Abstract In this work we prove global solution for the nonlinear system u t t − Δ p u + θ = | u | r − 1 u θ t − Δ θ = u t where Δ p is the nonlinear p -Laplacian operator, 2 ≤ p ∞ . We apply the potential well theory. The global solution is constructed by means of the Faedo–Galerkin approximations, taking into account that the initial data is in appropriated set of stability created from the Nehari manifold.