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In this work we estend a recent result of Krist\'aly, Marzantowicz and Vargaconcerning the existence of three critical points certain non-smoothfunctionals. Using this result, we guarantee the existence of three solutionsto a inclusion quasilinear problem, with non-homogeneous boundary conditionthrough Orlicz Sobolev spaces.

Multiple solutions for a inclusion quasilinear problem with non-homogeneous boundary condition through Orlicz Sobolev spaces