Nonlinear elliptic systems

AUTOR(ES)

DEFIGUEIREDO, DJAIRO G.

FONTE

Anais da Academia Brasileira de Ciências

DATA DE PUBLICAÇÃO

2000-12

RESUMO

In this paper we treat the question of the existence of solutions of boundary value problems for systems of nonlinear elliptic equations of the form - deltau = f (x, u, v,Ñu,Ñv), - deltav = g(x, u, v, Ñu, Ñv), in omega, We discuss several classes of such systems using both variational and topological methods. The notion of criticality takes into consideration the coupling, which plays important roles in both a priori estimates for the solutions and Palais-Smale conditions for the associated functional in the variational case.

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