Strongly nonlinear elliptic problem without growth condition

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}.

Keywords

• $p$-Laplacian
• growth condition.