Full paper in PDF:
$% S. El Manouni and A. Touzani, On some nonlinear elliptic systems with coercive perturbations in R^N, Rev. Mat. Complut. 16 (2003), 483–494.%$

On Some Nonlinear Elliptic Systems with Coercive Perturbations in R^N

A nonlinear elliptic system involving the p-Laplacian is considered in the whole ^N. Existence of nontrivial solutions is obtained by applying critical point theory; also a regularity result is established.

Key words: nonlinear elliptic system, coercive perturbation, Palais-Smale condition, Mountain Pass Theorem.
2000 Mathematics Subject Classification: 35J70, 35B45, 35B65.