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We develop arguments on the critical point theory for locally Lipschitzfunctionals on Orlicz-Sobolev spaces, along with convexity and compactnesstechniques to investigate existence of solution of the multivalued equation$\displaystyle - \Delta_{\Phi} u \in \partial j(.,u) + \lambda h \mbox{in}\Omega$, where $\Omega \subset {\bf R}^{N}$ is a bounded smooth domain, $\Phi :{\r} \longrightarrow [0,\infty)$ is a suitable N-function, $\Delta_{\Phi}$ isthe corresponding $\Phi$-Laplacian, $\lambda > 0$ is a parameter,$h:\Omega\rightarrow{\r}$ is integrable and $\partial j(., u)$ is thesubdifferential of a function $j$ associated with critical growth.

On Variational Multivalued Elliptic Equations on a Bounded Domain in the Presence of Critical Growth