Electronic Journal of Differential Equations, Conference 09 (2002), pp. 41-47. Title: Strongly nonlinear elliptic problem without growth condition Authors: Aomar Anane (Faculty of Sciences Oujda, Morocco) Omar Chakrone (Faculty of Sciences Oujda, Morocco) Abstract: We study a boundary-value problem for the $p$-Laplacian with a nonlinear term. We assume only coercivity conditions on the potential and do not assume growth condition on the nonlinearity. The coercivity is obtained by using similar non-resonance conditions as those in \cite{An-Go}. Published December 28, 2002. Math Subject Classifications: 49R50, 74G65, 35D05. Key Words: $p$-Laplacian; growth condition.