%0 Journal Article
%T Nonlinear elliptic systems
%A DEFIGUEIREDO
%A DJAIRO G.
%J Anais da Academia Brasileira de Ci¨ºncias
%D 2000
%I Academia Brasileira de Ci¨ºncias
%R 10.1590/S0001-37652000000400002
%X 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 - du = f (x, u, v,£¿u,£¿v), - dv = g(x, u, v, £¿u, £¿v), in w, 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.
%K elliptic equations
%K variational methods
%K palais-smale conditions
%K leray-schauder degree
%K a priori bounds.
%U http://www.scielo.br/scielo.php?script=sci_abstract&pid=S0001-37652000000400002&lng=en&nrm=iso&tlng=en