Bounded solutions of unilateral problems for strongly nonlinear equations in Orlicz spaces

摘要

In this paper, we prove the existence of bounded solutions of unilateral problems for strongly nonlinear equations whose principal part having a growth not necessarily of polynomial type and a degenerate coercivity, the lower order terms do not satisfy the sign condition and appropriate integrable source terms. We do not impose the $Delta_2$-condition on the considered $N$-functions defining the Orlicz-Sobolev functional framework.