IN THIS PAPER, WE STUDY THE FOLLOWING PROBLEM WITH NAVIER BOUNDARY CONDITIONS (FORMULA) WHERE  W IS A BOUNDED DOMAIN IN RN WITH SMOOTH BOUNDARY ¶ W, N³1. P (X), Q (X) AND (X) ARE CONTINUOUS FUNCTIONS ON `W, L AND M ARE PARAMETERS. USING VARIATIONAL METHODS, WE ESTABLISH SOME existence AND NON-existence RESULTS OF SOLUTIONS FOR THIS PROBLEM.