A nonlinear elliptic system involving the p-Laplacian is considered in the whole RN. Existence of nontrivial solutions is obtained by applying critical point theory; also a regularity result is established.
@article{urn:eudml:doc:44509, title = {On some nonlinear elliptic systems with coercive perturbation in RN.}, journal = {Revista Matem\'atica de la Universidad Complutense de Madrid}, volume = {16}, year = {2003}, pages = {483-494}, zbl = {1086.35032}, mrnumber = {MR2032929}, language = {en}, url = {http://dml.mathdoc.fr/item/urn:eudml:doc:44509} }
El Manouni, Said; Touzani, Abdelfattah. On some nonlinear elliptic systems with coercive perturbation in RN.. Revista Matemática de la Universidad Complutense de Madrid, Tome 16 (2003) pp. 483-494. http://gdmltest.u-ga.fr/item/urn:eudml:doc:44509/