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/