We study existence and some properties of solutions of the nonlinear elliptic equation N(x,a(u))Lu = f in unbounded domains. The above method is not a variational problem. Our techniques involve fixed point arguments and Galerkin method.
@article{urn:eudml:doc:44311, title = {On a nonlinear stationary problem in unbounded domains.}, journal = {Revista Matem\'atica de la Universidad Complutense de Madrid}, volume = {5}, year = {1992}, pages = {309-318}, zbl = {0780.35035}, mrnumber = {MR1195085}, language = {en}, url = {http://dml.mathdoc.fr/item/urn:eudml:doc:44311} }
Vasconcellos, Carlos Frederico. On a nonlinear stationary problem in unbounded domains.. Revista Matemática de la Universidad Complutense de Madrid, Tome 5 (1992) pp. 309-318. http://gdmltest.u-ga.fr/item/urn:eudml:doc:44311/